72517968 has 60 divisors (see below), whose sum is σ = 204466080. Its totient is φ = 23992128.

The previous prime is 72517943. The next prime is 72517969. The reversal of 72517968 is 86971527.

72517968 is a `hidden beast` number, since 72 + 517 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72517969) 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, 18205 + ... + 21827.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768).

Almost surely, 2^72517968 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 72517968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233040).

72517968 is an abundant number, since it is smaller than the sum of its proper divisors (131948112).

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

72517968 is a wasteful number, since it uses less digits than its factorization.

72517968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3767 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72517968 is about 8515.7482348881. The cubic root of 72517968 is about 417.0119900629.

The spelling of 72517968 in words is "seventy-two million, five hundred seventeen thousand, nine hundred sixty-eight".