72821760 has 176 divisors, whose sum is σ = 254679552. Its totient is φ = 17612800.

The previous prime is 72821743. The next prime is 72821773. The reversal of 72821760 is 6712827.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168745 + ... + 169175.

Almost surely, 2^72821760 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 72821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127339776).

72821760 is an abundant number, since it is smaller than the sum of its proper divisors (181857792).

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

72821760 is a wasteful number, since it uses less digits than its factorization.

72821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 72821760 is about 8533.5666634766. The cubic root of 72821760 is about 417.5934938286.

The spelling of 72821760 in words is "seventy-two million, eight hundred twenty-one thousand, seven hundred sixty".