72797300 has 72 divisors (see below), whose sum is σ = 170322432. Its totient is φ = 26928000.

The previous prime is 72797293. The next prime is 72797317. The reversal of 72797300 is 379727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70790 + ... + 71810.

Almost surely, 2^72797300 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 72797300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

72797300 is an abundant number, since it is smaller than the sum of its proper divisors (97525132).

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

72797300 is a wasteful number, since it uses less digits than its factorization.

72797300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 35.

The square root of 72797300 is about 8532.1333791731. The cubic root of 72797300 is about 417.5467336262.

The spelling of 72797300 in words is "seventy-two million, seven hundred ninety-seven thousand, three hundred".