72376968 has 32 divisors (see below), whose sum is σ = 181388160. Its totient is φ = 24066240.

The previous prime is 72376961. The next prime is 72376987. The reversal of 72376968 is 86967327.

It is a super-3 number, since 3×72376968³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72376961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6846 + ... + 13842.

It is an arithmetic number, because the mean of its divisors is an integer number (5668380).

Almost surely, 2^72376968 is an apocalyptic number.

It is an amenable number.

72376968 is an abundant number, since it is smaller than the sum of its proper divisors (109011192).

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

72376968 is a wasteful number, since it uses less digits than its factorization.

72376968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7437 (or 7433 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 72376968 is about 8507.4654274937. The cubic root of 72376968 is about 416.7415428815.

The spelling of 72376968 in words is "seventy-two million, three hundred seventy-six thousand, nine hundred sixty-eight".