72885780 has 144 divisors (see below), whose sum is σ = 243891648. Its totient is φ = 17472000.

The previous prime is 72885773. The next prime is 72885797. The reversal of 72885780 is 8758827.

It is a happy number.

72885780 is a `hidden beast` number, since 72 + 8 + 8 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 259240 + ... + 259520.

It is an arithmetic number, because the mean of its divisors is an integer number (1693692).

Almost surely, 2^72885780 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 72885780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121945824).

72885780 is an abundant number, since it is smaller than the sum of its proper divisors (171005868).

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

72885780 is a wasteful number, since it uses less digits than its factorization.

72885780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 72885780 is about 8537.3169087249. The cubic root of 72885780 is about 417.7158313687.

The spelling of 72885780 in words is "seventy-two million, eight hundred eighty-five thousand, seven hundred eighty".