72301920 has 192 divisors, whose sum is σ = 242694144. Its totient is φ = 18063360.

The previous prime is 72301919. The next prime is 72301967. The reversal of 72301920 is 2910327.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 639784 + ... + 639896.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 2^72301920 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 72301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

72301920 is an abundant number, since it is smaller than the sum of its proper divisors (170392224).

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

72301920 is a wasteful number, since it uses less digits than its factorization.

72301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72301920 is about 8503.0535691597. The cubic root of 72301920 is about 416.5974526810.

The spelling of 72301920 in words is "seventy-two million, three hundred one thousand, nine hundred twenty".