72125600 has 72 divisors (see below), whose sum is σ = 178230780. Its totient is φ = 28497920.

The previous prime is 72125593. The next prime is 72125621. The reversal of 72125600 is 652127.

It can be written as a sum of positive squares in 6 ways, for example, as 824464 + 71301136 = 908^2 + 8444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70694 + ... + 71706.

Almost surely, 2^72125600 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 72125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115390).

72125600 is an abundant number, since it is smaller than the sum of its proper divisors (106105180).

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

72125600 is a wasteful number, since it uses less digits than its factorization.

72125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72125600 is about 8492.6792003466. The cubic root of 72125600 is about 416.2585301273.

Adding to 72125600 its reverse (652127), we get a palindrome (72777727).

The spelling of 72125600 in words is "seventy-two million, one hundred twenty-five thousand, six hundred".