71764992 has 132 divisors (see below), whose sum is σ = 223532400. Its totient is φ = 22044672.

The previous prime is 71764981. The next prime is 71765011. The reversal of 71764992 is 29946717.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119509 + ... + 120107.

Almost surely, 2^71764992 is an apocalyptic number.

71764992 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 71764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111766200).

71764992 is an abundant number, since it is smaller than the sum of its proper divisors (151767408).

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

71764992 is a wasteful number, since it uses less digits than its factorization.

71764992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 71764992 is about 8471.4220766056. The cubic root of 71764992 is about 415.5636450182.

The spelling of 71764992 in words is "seventy-one million, seven hundred sixty-four thousand, nine hundred ninety-two".