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72296616 = 23371572741
BaseRepresentation
bin1000100111100…
…10100010101000
312001001001022110
410103302202220
5122001442431
611101322320
71535340210
oct423624250
9161031273
1072296616
113789a577
12202663a0
1311c93c82
14985d240
156531346
hex44f28a8

72296616 has 64 divisors (see below), whose sum is σ = 207953280. Its totient is φ = 20517120.

The previous prime is 72296603. The next prime is 72296621. The reversal of 72296616 is 61669227.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25006 + ... + 27746.

It is an arithmetic number, because the mean of its divisors is an integer number (3249270).

Almost surely, 272296616 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 72296616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103976640).

72296616 is an abundant number, since it is smaller than the sum of its proper divisors (135656664).

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

72296616 is a wasteful number, since it uses less digits than its factorization.

72296616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2910 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 72296616 is about 8502.7416754833. The cubic root of 72296616 is about 416.5872653678.

The spelling of 72296616 in words is "seventy-two million, two hundred ninety-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 2741 3297 3768 4396 5482 6594 8223 8792 10964 13188 16446 19187 21928 26376 32892 38374 57561 65784 76748 115122 153496 230244 430337 460488 860674 1291011 1721348 2582022 3012359 3442696 5164044 6024718 9037077 10328088 12049436 18074154 24098872 36148308 72296616