71962560 has 112 divisors (see below), whose sum is σ = 253898400. Its totient is φ = 19187712.

The previous prime is 71962549. The next prime is 71962573. The reversal of 71962560 is 6526917.

71962560 is a `hidden beast` number, since 7 + 1 + 96 + 2 + 560 = 666.

It is a super-2 number, since 2×71962560² = 10357220083507200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4476 + ... + 12804.

It is an arithmetic number, because the mean of its divisors is an integer number (2266950).

Almost surely, 2^71962560 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 71962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126949200).

71962560 is an abundant number, since it is smaller than the sum of its proper divisors (181935840).

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

71962560 is a wasteful number, since it uses less digits than its factorization.

71962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8339 counting only the distinct ones).

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

The square root of 71962560 is about 8483.0749142042. The cubic root of 71962560 is about 415.9446425352.

The spelling of 71962560 in words is "seventy-one million, nine hundred sixty-two thousand, five hundred sixty".