72394920 has 192 divisors, whose sum is σ = 262080000. Its totient is φ = 17210880.

The previous prime is 72394913. The next prime is 72394969. The reversal of 72394920 is 2949327.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144831 + ... + 145329.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^72394920 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 72394920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

72394920 is an abundant number, since it is smaller than the sum of its proper divisors (189685080).

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

72394920 is a wasteful number, since it uses less digits than its factorization.

72394920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 72394920 is about 8508.5204354224. The cubic root of 72394920 is about 416.7759954886.

The spelling of 72394920 in words is "seventy-two million, three hundred ninety-four thousand, nine hundred twenty".