71513736000 has 336 divisors, whose sum is σ = 274696074432. Its totient is φ = 16345728000.

The previous prime is 71513735999. The next prime is 71513736023. The reversal of 71513736000 is 63731517.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×71513736000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1145595 + ... + 1206405.

Almost surely, 2^71513736000 is an apocalyptic number.

71513736000 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 71513736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137348037216).

71513736000 is an abundant number, since it is smaller than the sum of its proper divisors (203182338432).

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

71513736000 is a wasteful number, since it uses less digits than its factorization.

71513736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60855 (or 60828 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 71513736000 in words is "seventy-one billion, five hundred thirteen million, seven hundred thirty-six thousand".