72172600 has 24 divisors (see below), whose sum is σ = 167801760. Its totient is φ = 28868960.

The previous prime is 72172579. The next prime is 72172603. The reversal of 72172600 is 627127.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180232 + ... + 180631.

It is an arithmetic number, because the mean of its divisors is an integer number (6991740).

Almost surely, 2^72172600 is an apocalyptic number.

It is an amenable number.

72172600 is an abundant number, since it is smaller than the sum of its proper divisors (95629160).

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

72172600 is a wasteful number, since it uses less digits than its factorization.

72172600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360879 (or 360870 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72172600 is about 8495.4458388009. The cubic root of 72172600 is about 416.3489275398.

Adding to 72172600 its reverse (627127), we get a palindrome (72799727).

The spelling of 72172600 in words is "seventy-two million, one hundred seventy-two thousand, six hundred".