72961560 has 160 divisors (see below), whose sum is σ = 280352160. Its totient is φ = 16671744.

The previous prime is 72961519. The next prime is 72961579. The reversal of 72961560 is 6516927.

72961560 is a `hidden beast` number, since 7 + 2 + 96 + 1 + 560 = 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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21072 + ... + 24288.

It is an arithmetic number, because the mean of its divisors is an integer number (1752201).

Almost surely, 2^72961560 is an apocalyptic number.

72961560 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 72961560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140176080).

72961560 is an abundant number, since it is smaller than the sum of its proper divisors (207390600).

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

72961560 is a wasteful number, since it uses less digits than its factorization.

72961560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72961560 is about 8541.7539182536. The cubic root of 72961560 is about 417.8605488592.

The spelling of 72961560 in words is "seventy-two million, nine hundred sixty-one thousand, five hundred sixty".