72385560 has 96 divisors (see below), whose sum is σ = 253365840. Its totient is φ = 17816832.

The previous prime is 72385549. The next prime is 72385591. The reversal of 72385560 is 6558327.

72385560 is a `hidden beast` number, since 72 + 38 + 556 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3054 + ... + 12413.

Almost surely, 2^72385560 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 72385560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126682920).

72385560 is an abundant number, since it is smaller than the sum of its proper divisors (180980280).

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

72385560 is a wasteful number, since it uses less digits than its factorization.

72385560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72385560 is about 8507.9703807665. The cubic root of 72385560 is about 416.7580329416.

The spelling of 72385560 in words is "seventy-two million, three hundred eighty-five thousand, five hundred sixty".