72075624 has 32 divisors (see below), whose sum is σ = 180493920. Its totient is φ = 23984576.

The previous prime is 72075599. The next prime is 72075691. The reversal of 72075624 is 42657027.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14194 + ... + 18590.

It is an arithmetic number, because the mean of its divisors is an integer number (5640435).

Almost surely, 2^72075624 is an apocalyptic number.

It is an amenable number.

72075624 is an abundant number, since it is smaller than the sum of its proper divisors (108418296).

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

72075624 is a wasteful number, since it uses less digits than its factorization.

72075624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 72075624 is about 8489.7363916673. The cubic root of 72075624 is about 416.1623657374.

The spelling of 72075624 in words is "seventy-two million, seventy-five thousand, six hundred twenty-four".