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72245976 = 233111312089
BaseRepresentation
bin1000100111001…
…10001011011000
312000221110211220
410103212023120
5121443332401
611100252040
71535036445
oct423461330
9160843756
1072245976
1137865520
1220241020
1311c76bca
1498489cc
156521336
hex44e62d8

72245976 has 64 divisors (see below), whose sum is σ = 198633600. Its totient is φ = 21715200.

The previous prime is 72245917. The next prime is 72245981. The reversal of 72245976 is 67954227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33540 + ... + 35628.

It is an arithmetic number, because the mean of its divisors is an integer number (3103650).

Almost surely, 272245976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72245976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316800).

72245976 is an abundant number, since it is smaller than the sum of its proper divisors (126387624).

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

72245976 is a wasteful number, since it uses less digits than its factorization.

72245976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2236 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 72245976 is about 8499.7632908217. The cubic root of 72245976 is about 416.4899767820.

The spelling of 72245976 in words is "seventy-two million, two hundred forty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2089 2882 3144 4178 4323 5764 6267 8356 8646 11528 12534 16712 17292 22979 25068 34584 45958 50136 68937 91916 137874 183832 273659 275748 547318 551496 820977 1094636 1641954 2189272 3010249 3283908 6020498 6567816 9030747 12040996 18061494 24081992 36122988 72245976