72925920 has 240 divisors, whose sum is σ = 273330288. Its totient is φ = 18247680.

The previous prime is 72925913. The next prime is 72925943. The reversal of 72925920 is 2952927.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220155 + ... + 220485.

Almost surely, 2^72925920 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 72925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136665144).

72925920 is an abundant number, since it is smaller than the sum of its proper divisors (200404368).

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

72925920 is a wasteful number, since it uses less digits than its factorization.

72925920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72925920 is about 8539.6674408316. The cubic root of 72925920 is about 417.7924994393.

The spelling of 72925920 in words is "seventy-two million, nine hundred twenty-five thousand, nine hundred twenty".