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72273400 = 23523111657
BaseRepresentation
bin1000100111011…
…00110111111000
312000222212110121
410103230313320
5122000222100
611101023024
71535212423
oct423546770
9160885417
1072273400
1137884091
1220254a74
1311c86534
1498549ba
15652951a
hex44ecdf8

72273400 has 48 divisors (see below), whose sum is σ = 173471040. Its totient is φ = 27974400.

The previous prime is 72273379. The next prime is 72273401. The reversal of 72273400 is 437227.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72273401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372 + ... + 12028.

It is an arithmetic number, because the mean of its divisors is an integer number (3613980).

Almost surely, 272273400 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 72273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86735520).

72273400 is an abundant number, since it is smaller than the sum of its proper divisors (101197640).

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

72273400 is a wasteful number, since it uses less digits than its factorization.

72273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11695 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 72273400 is about 8501.3763591550. The cubic root of 72273400 is about 416.5426688804.

The spelling of 72273400 in words is "seventy-two million, two hundred seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 11657 23314 46628 58285 93256 116570 233140 291425 361367 466280 582850 722734 1165700 1445468 1806835 2331400 2890936 3613670 7227340 9034175 14454680 18068350 36136700 72273400