72700384 has 48 divisors (see below), whose sum is σ = 152182800. Its totient is φ = 34089984.

The previous prime is 72700373. The next prime is 72700409. The reversal of 72700384 is 48300727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65724 + ... + 66820.

It is an arithmetic number, because the mean of its divisors is an integer number (3170475).

Almost surely, 2^72700384 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 72700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76091400).

72700384 is an abundant number, since it is smaller than the sum of its proper divisors (79482416).

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

72700384 is a wasteful number, since it uses less digits than its factorization.

72700384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 72700384 is about 8526.4520171054. The cubic root of 72700384 is about 417.3613561896.

The spelling of 72700384 in words is "seventy-two million, seven hundred thousand, three hundred eighty-four".