71572999680 has 800 divisors, whose sum is σ = 315593175744. Its totient is φ = 15097135104.

The previous prime is 71572999649. The next prime is 71572999691. The reversal of 71572999680 is 8699927517.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18867864 + ... + 18871656.

Almost surely, 2^71572999680 is an apocalyptic number.

71572999680 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 71572999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157796587872).

71572999680 is an abundant number, since it is smaller than the sum of its proper divisors (244020176064).

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

71572999680 is a wasteful number, since it uses less digits than its factorization.

71572999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

It can be divided in two parts, 715729 and 99680, that added together give a square (815409 = 903²).

The spelling of 71572999680 in words is "seventy-one billion, five hundred seventy-two million, nine hundred ninety-nine thousand, six hundred eighty".