71508960 has 96 divisors (see below), whose sum is σ = 250296480. Its totient is φ = 19067904.

The previous prime is 71508959. The next prime is 71508977. The reversal of 71508960 is 6980517.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×71508960² = 10227062720563200, 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, 3957 + ... + 12596.

It is an arithmetic number, because the mean of its divisors is an integer number (2607255).

Almost surely, 2^71508960 is an apocalyptic number.

It is an amenable number.

71508960 is an abundant number, since it is smaller than the sum of its proper divisors (178787520).

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

71508960 is a wasteful number, since it uses less digits than its factorization.

71508960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 71508960 is about 8456.2970619533. The cubic root of 71508960 is about 415.0688616557.

It can be divided in two parts, 7150 and 8960, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 71508960 in words is "seventy-one million, five hundred eight thousand, nine hundred sixty".