72394560 has 504 divisors, whose sum is σ = 316199520. Its totient is φ = 15676416.

The previous prime is 72394559. The next prime is 72394571. The reversal of 72394560 is 6549327.

72394560 is a `hidden beast` number, since 7 + 2 + 3 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810231 + ... + 3810249.

It is an arithmetic number, because the mean of its divisors is an integer number (627380).

Almost surely, 2^72394560 is an apocalyptic number.

72394560 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 72394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099760).

72394560 is an abundant number, since it is smaller than the sum of its proper divisors (243804960).

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

72394560 is a wasteful number, since it uses less digits than its factorization.

72394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72394560 is about 8508.4992801316. The cubic root of 72394560 is about 416.7753046500.

72394560 divided by its product of nonzero digits (45360) gives a triangular number (1596 = T₅₆).

The spelling of 72394560 in words is "seventy-two million, three hundred ninety-four thousand, five hundred sixty".