72727400 has 48 divisors (see below), whose sum is σ = 171268800. Its totient is φ = 28716480.

The previous prime is 72727397. The next prime is 72727451. The reversal of 72727400 is 472727.

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, 13499 + ... + 18101.

It is an arithmetic number, because the mean of its divisors is an integer number (3568100).

Almost surely, 2^72727400 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 72727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85634400).

72727400 is an abundant number, since it is smaller than the sum of its proper divisors (98541400).

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

72727400 is a wasteful number, since it uses less digits than its factorization.

72727400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 72727400 is about 8528.0361162462. The cubic root of 72727400 is about 417.4130479753.

The spelling of 72727400 in words is "seventy-two million, seven hundred twenty-seven thousand, four hundred".