72505400 has 48 divisors (see below), whose sum is σ = 183905640. Its totient is φ = 26364800.

The previous prime is 72505399. The next prime is 72505403. The reversal of 72505400 is 450527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72505403) 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, 14279 + ... + 18678.

Almost surely, 2^72505400 is an apocalyptic number.

It is an amenable number.

72505400 is an abundant number, since it is smaller than the sum of its proper divisors (111400240).

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

72505400 is a wasteful number, since it uses less digits than its factorization.

72505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32984 (or 32975 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 72505400 is about 8515.0102759774. The cubic root of 72505400 is about 416.9878980591.

Adding to 72505400 its reverse (450527), we get a palindrome (72955927).

The spelling of 72505400 in words is "seventy-two million, five hundred five thousand, four hundred".