72926568 has 160 divisors (see below), whose sum is σ = 240276960. Its totient is φ = 20373120.

The previous prime is 72926551. The next prime is 72926573. The reversal of 72926568 is 86562927.

It is a super-4 number, since 4×72926568⁴ (a number of 33 digits) contains 4444 as substring.

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 39 ways as a sum of consecutive naturals, for example, 92271 + ... + 93057.

It is an arithmetic number, because the mean of its divisors is an integer number (1501731).

Almost surely, 2^72926568 is an apocalyptic number.

72926568 is a gapful number since it is divisible by the number (78) 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 72926568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120138480).

72926568 is an abundant number, since it is smaller than the sum of its proper divisors (167350392).

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

72926568 is a wasteful number, since it uses less digits than its factorization.

72926568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 816 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72926568 is about 8539.7053813349. The cubic root of 72926568 is about 417.7937368994.

The spelling of 72926568 in words is "seventy-two million, nine hundred twenty-six thousand, five hundred sixty-eight".