72015600 has 60 divisors (see below), whose sum is σ = 230693816. Its totient is φ = 19203840.

The previous prime is 72015569. The next prime is 72015607. The reversal of 72015600 is 651027.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015607) 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, 28807 + ... + 31206.

Almost surely, 2^72015600 is an apocalyptic number.

It is an amenable number.

72015600 is an abundant number, since it is smaller than the sum of its proper divisors (158678216).

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

72015600 is a wasteful number, since it uses less digits than its factorization.

72015600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60034 (or 60023 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72015600 is about 8486.2005632674. The cubic root of 72015600 is about 416.0468080959.

Adding to 72015600 its reverse (651027), we get a palindrome (72666627).

The spelling of 72015600 in words is "seventy-two million, fifteen thousand, six hundred".