72252600 has 96 divisors (see below), whose sum is σ = 255995520. Its totient is φ = 16513920.

The previous prime is 72252589. The next prime is 72252623. The reversal of 72252600 is 625227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4402 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (2666620).

Almost surely, 2^72252600 is an apocalyptic number.

72252600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72252600 is an abundant number, since it is smaller than the sum of its proper divisors (183742920).

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

72252600 is a wasteful number, since it uses less digits than its factorization.

72252600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72252600 is about 8500.1529398006. The cubic root of 72252600 is about 416.5027052662.

Adding to 72252600 its reverse (625227), we get a palindrome (72877827).

The spelling of 72252600 in words is "seventy-two million, two hundred fifty-two thousand, six hundred".