71892685032 has 192 divisors, whose sum is σ = 223786598400. Its totient is φ = 18831450240.

The previous prime is 71892685031. The next prime is 71892685037. The reversal of 71892685032 is 23058629817.

It is a super-2 number, since 2×71892685032² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71892685031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860969 + ... + 1899207.

It is an arithmetic number, because the mean of its divisors is an integer number (1165555200).

Almost surely, 2^71892685032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71892685032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111893299200).

71892685032 is an abundant number, since it is smaller than the sum of its proper divisors (151893913368).

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

71892685032 is a wasteful number, since it uses less digits than its factorization.

71892685032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38324 (or 38301 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 71892685032 in words is "seventy-one billion, eight hundred ninety-two million, six hundred eighty-five thousand, thirty-two".