71307371520 has 1980 divisors, whose sum is σ = 337988726460. Its totient is φ = 14306181120.

The previous prime is 71307371519. The next prime is 71307371587. The reversal of 71307371520 is 2517370317.

71307371520 is a `hidden beast` number, since 71 + 30 + 7 + 37 + 1 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31473598464 + 39833773056 = 177408^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (1980).

It is a super-2 number, since 2×71307371520² (a number of 23 digits) 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 179 ways as a sum of consecutive naturals, for example, 2458874866 + ... + 2458874894.

It is an arithmetic number, because the mean of its divisors is an integer number (170701377).

Almost surely, 2^71307371520 is an apocalyptic number.

71307371520 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 71307371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168994363230).

71307371520 is an abundant number, since it is smaller than the sum of its proper divisors (266681354940).

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

71307371520 is a wasteful number, since it uses less digits than its factorization.

71307371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 71307371520 in words is "seventy-one billion, three hundred seven million, three hundred seventy-one thousand, five hundred twenty".