71725740482592 has 576 divisors, whose sum is σ = 252281143296000. Its totient is φ = 18873815132160.

The previous prime is 71725740482587. The next prime is 71725740482597. The reversal of 71725740482592 is 29528404752717.

71725740482592 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 574 + 0 + 4 + 8 + 2 + 59 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (71725740482587) and next prime (71725740482597).

It is a super-2 number, since 2×71725740482592² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71725740482597) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268109217 + ... + 268376607.

It is an arithmetic number, because the mean of its divisors is an integer number (437988096000).

Almost surely, 2^{71725740482592} is an apocalyptic number.

71725740482592 is a gapful number since it is divisible by the number (72) 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 71725740482592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126140571648000).

71725740482592 is an abundant number, since it is smaller than the sum of its proper divisors (180555402813408).

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

71725740482592 is a wasteful number, since it uses less digits than its factorization.

71725740482592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267629 (or 267618 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 71725740482592 in words is "seventy-one trillion, seven hundred twenty-five billion, seven hundred forty million, four hundred eighty-two thousand, five hundred ninety-two".