71500720032 has 144 divisors (see below), whose sum is σ = 242591872320. Its totient is φ = 20428765056.

The previous prime is 71500720003. The next prime is 71500720033. The reversal of 71500720032 is 23002700517.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×71500720032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71500719978 and 71500720005.

It is not an unprimeable number, because it can be changed into a prime (71500720033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802108 + ... + 886779.

It is an arithmetic number, because the mean of its divisors is an integer number (1684665780).

Almost surely, 2^71500720032 is an apocalyptic number.

71500720032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71500720032 is an abundant number, since it is smaller than the sum of its proper divisors (171091152288).

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

71500720032 is a wasteful number, since it uses less digits than its factorization.

71500720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688920 (or 1688899 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 71500720032 in words is "seventy-one billion, five hundred million, seven hundred twenty thousand, thirty-two".