72991568 has 40 divisors (see below), whose sum is σ = 153823488. Its totient is φ = 33351552.

The previous prime is 72991549. The next prime is 72991601. The reversal of 72991568 is 86519927.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19721 + ... + 23127.

Almost surely, 2^72991568 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 72991568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76911744).

72991568 is an abundant number, since it is smaller than the sum of its proper divisors (80831920).

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

72991568 is a wasteful number, since it uses less digits than its factorization.

72991568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3525 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 72991568 is about 8543.5102855910. The cubic root of 72991568 is about 417.9178276084.

The spelling of 72991568 in words is "seventy-two million, nine hundred ninety-one thousand, five hundred sixty-eight".