72935520 has 192 divisors, whose sum is σ = 268531200. Its totient is φ = 16633344.

The previous prime is 72935501. The next prime is 72935581. The reversal of 72935520 is 2553927.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164419 + ... + 164861.

It is an arithmetic number, because the mean of its divisors is an integer number (1398600).

Almost surely, 2^72935520 is an apocalyptic number.

72935520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

72935520 is an abundant number, since it is smaller than the sum of its proper divisors (195595680).

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

72935520 is a wasteful number, since it uses less digits than its factorization.

72935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 72935520 is about 8540.2295051128. The cubic root of 72935520 is about 417.8108314307.

The spelling of 72935520 in words is "seventy-two million, nine hundred thirty-five thousand, five hundred twenty".