72575664 has 120 divisors (see below), whose sum is σ = 222217920. Its totient is φ = 20345472.

The previous prime is 72575663. The next prime is 72575677. The reversal of 72575664 is 46657527.

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

It is not an unprimeable number, because it can be changed into a prime (72575663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138507 + ... + 139029.

It is an arithmetic number, because the mean of its divisors is an integer number (1851816).

Almost surely, 2^72575664 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 72575664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111108960).

72575664 is an abundant number, since it is smaller than the sum of its proper divisors (149642256).

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

72575664 is a wasteful number, since it uses less digits than its factorization.

72575664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 72575664 is about 8519.1351673747. The cubic root of 72575664 is about 417.1225536767.

It can be divided in two parts, 7257 and 5664, that added together give a palindrome (12921).

The spelling of 72575664 in words is "seventy-two million, five hundred seventy-five thousand, six hundred sixty-four".