72082920 has 384 divisors, whose sum is σ = 289578240. Its totient is φ = 14192640.

The previous prime is 72082889. The next prime is 72082937. The reversal of 72082920 is 2928027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758100 + ... + 1758140.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^72082920 is an apocalyptic number.

72082920 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 72082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

72082920 is an abundant number, since it is smaller than the sum of its proper divisors (217495320).

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

72082920 is a wasteful number, since it uses less digits than its factorization.

72082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72082920 is about 8490.1660761142. The cubic root of 72082920 is about 416.1764075544.

The spelling of 72082920 in words is "seventy-two million, eighty-two thousand, nine hundred twenty".