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72374120 = 23571359337
BaseRepresentation
bin1000101000001…
…01011101101000
312001011222121222
410110011131220
5122011432440
611103121212
71536112160
oct424053550
9161158558
1072374120
1137942825
12202a3208
1311cc0330
14987d5a0
1565492b5
hex4505768

72374120 has 128 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 22450176.

The previous prime is 72374101. The next prime is 72374129. The reversal of 72374120 is 2147327.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 72374120.

It is not an unprimeable number, because it can be changed into a prime (72374129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214592 + ... + 214928.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 272374120 is an apocalyptic number.

72374120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

72374120 is an abundant number, since it is smaller than the sum of its proper divisors (132048280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72374120 is a wasteful number, since it uses less digits than its factorization.

72374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 72374120 is about 8507.2980434448. The cubic root of 72374120 is about 416.7360766146.

72374120 divided by its sum of digits (26) gives a triangular number (2783620 = T2359).

The spelling of 72374120 in words is "seventy-two million, three hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 91 104 118 130 140 182 236 260 280 295 337 364 413 455 472 520 590 674 728 767 826 910 1180 1348 1534 1652 1685 1820 2065 2359 2360 2696 3068 3304 3370 3640 3835 4130 4381 4718 5369 6136 6740 7670 8260 8762 9436 10738 11795 13480 15340 16520 17524 18872 19883 21476 21905 23590 26845 30667 30680 35048 39766 42952 43810 47180 53690 61334 79532 87620 94360 99415 107380 122668 139181 153335 159064 175240 198830 214760 245336 258479 278362 306670 397660 516958 556724 613340 695905 795320 1033916 1113448 1226680 1292395 1391810 1809353 2067832 2584790 2783620 3618706 5169580 5567240 7237412 9046765 10339160 14474824 18093530 36187060 72374120