72170400 has 72 divisors (see below), whose sum is σ = 234922464. Its totient is φ = 19244800.

The previous prime is 72170353. The next prime is 72170431. The reversal of 72170400 is 407127.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 12636 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (3262812).

Almost surely, 2^72170400 is an apocalyptic number.

It is an amenable number.

72170400 is an abundant number, since it is smaller than the sum of its proper divisors (162752064).

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

72170400 is a wasteful number, since it uses less digits than its factorization.

72170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30094 (or 30081 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72170400 is about 8495.3163566756. The cubic root of 72170400 is about 416.3446970472.

Adding to 72170400 its reverse (407127), we get a palindrome (72577527).

The spelling of 72170400 in words is "seventy-two million, one hundred seventy thousand, four hundred".