72785520 has 160 divisors (see below), whose sum is σ = 259031040. Its totient is φ = 18766080.

The previous prime is 72785519. The next prime is 72785521. The reversal of 72785520 is 2558727.

It is an interprime number because it is at equal distance from previous prime (72785519) and next prime (72785521).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72785521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66417 + ... + 67503.

It is an arithmetic number, because the mean of its divisors is an integer number (1618944).

Almost surely, 2^72785520 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 72785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515520).

72785520 is an abundant number, since it is smaller than the sum of its proper divisors (186245520).

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

72785520 is a wasteful number, since it uses less digits than its factorization.

72785520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72785520 is about 8531.4430197945. The cubic root of 72785520 is about 417.5242100534.

The spelling of 72785520 in words is "seventy-two million, seven hundred eighty-five thousand, five hundred twenty".