72178560 has 128 divisors (see below), whose sum is σ = 255693600. Its totient is φ = 19243008.

The previous prime is 72178537. The next prime is 72178591. The reversal of 72178560 is 6587127.

72178560 is a `hidden beast` number, since 7 + 21 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15192 + ... + 19368.

Almost surely, 2^72178560 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 72178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127846800).

72178560 is an abundant number, since it is smaller than the sum of its proper divisors (183515040).

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

72178560 is a wasteful number, since it uses less digits than its factorization.

72178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72178560 is about 8495.7966077349. The cubic root of 72178560 is about 416.3603878969.

The spelling of 72178560 in words is "seventy-two million, one hundred seventy-eight thousand, five hundred sixty".