71512560 has 180 divisors, whose sum is σ = 279511128. Its totient is φ = 16337664.

The previous prime is 71512559. The next prime is 71512577. The reversal of 71512560 is 6521517.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×71512560² = 10228092475507200, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 34267 + ... + 36293.

Almost surely, 2^71512560 is an apocalyptic number.

71512560 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 71512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139755564).

71512560 is an abundant number, since it is smaller than the sum of its proper divisors (207998568).

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

71512560 is a wasteful number, since it uses less digits than its factorization.

71512560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 71512560 is about 8456.5099184001. The cubic root of 71512560 is about 415.0758268567.

The spelling of 71512560 in words is "seventy-one million, five hundred twelve thousand, five hundred sixty".