72668538 has 24 divisors (see below), whose sum is σ = 161111808. Its totient is φ = 23659272.

The previous prime is 72668537. The next prime is 72668539. The reversal of 72668538 is 83586627.

It is an interprime number because it is at equal distance from previous prime (72668537) and next prime (72668539).

It is a junction number, because it is equal to n+sod(n) for n = 72668493 and 72668502.

It is not an unprimeable number, because it can be changed into a prime (72668537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46170 + ... + 47717.

It is an arithmetic number, because the mean of its divisors is an integer number (6712992).

Almost surely, 2^72668538 is an apocalyptic number.

72668538 is an abundant number, since it is smaller than the sum of its proper divisors (88443270).

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

72668538 is a wasteful number, since it uses less digits than its factorization.

72668538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93938 (or 93935 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72668538 is about 8524.5843300421. The cubic root of 72668538 is about 417.3004063467.

The spelling of 72668538 in words is "seventy-two million, six hundred sixty-eight thousand, five hundred thirty-eight".