72941568 has 136 divisors (see below), whose sum is σ = 226490688. Its totient is φ = 20447232.

The previous prime is 72941537. The next prime is 72941573. The reversal of 72941568 is 86514927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376230 + ... + 1376282.

Almost surely, 2^72941568 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 72941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113245344).

72941568 is an abundant number, since it is smaller than the sum of its proper divisors (153549120).

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

72941568 is an frugal number, since it uses more digits than its factorization.

72941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 72941568 is about 8540.5835866175. The cubic root of 72941568 is about 417.8223797594.

The spelling of 72941568 in words is "seventy-two million, nine hundred forty-one thousand, five hundred sixty-eight".