72370400 has 72 divisors (see below), whose sum is σ = 179691624. Its totient is φ = 28454400.

The previous prime is 72370391. The next prime is 72370421. The reversal of 72370400 is 407327.

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, 48059 + ... + 49541.

It is an arithmetic number, because the mean of its divisors is an integer number (2495717).

Almost surely, 2^72370400 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 72370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89845812).

72370400 is an abundant number, since it is smaller than the sum of its proper divisors (107321224).

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

72370400 is a wasteful number, since it uses less digits than its factorization.

72370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 72370400 is about 8507.0794048251. The cubic root of 72370400 is about 416.7289364712.

Adding to 72370400 its reverse (407327), we get a palindrome (72777727).

The spelling of 72370400 in words is "seventy-two million, three hundred seventy thousand, four hundred".