71512997400 has 144 divisors (see below), whose sum is σ = 258638758560. Its totient is φ = 17603193600.

The previous prime is 71512997399. The next prime is 71512997407. The reversal of 71512997400 is 479921517.

71512997400 is a `hidden beast` number, since 7 + 1 + 512 + 9 + 97 + 40 + 0 = 666.

It is a super-2 number, since 2×71512997400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71512997407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1504656 + ... + 1551455.

It is an arithmetic number, because the mean of its divisors is an integer number (1796102490).

Almost surely, 2^71512997400 is an apocalyptic number.

It is an amenable number.

71512997400 is an abundant number, since it is smaller than the sum of its proper divisors (187125761160).

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

71512997400 is a wasteful number, since it uses less digits than its factorization.

71512997400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056146 (or 3056134 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 71512997400 in words is "seventy-one billion, five hundred twelve million, nine hundred ninety-seven thousand, four hundred".