71792084 has 48 divisors (see below), whose sum is σ = 155947008. Its totient is φ = 28159488.

The previous prime is 71792057. The next prime is 71792093. The reversal of 71792084 is 48029717.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45452 + ... + 47004.

It is an arithmetic number, because the mean of its divisors is an integer number (3248896).

Almost surely, 2^71792084 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 71792084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77973504).

71792084 is an abundant number, since it is smaller than the sum of its proper divisors (84154924).

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

71792084 is a wasteful number, since it uses less digits than its factorization.

71792084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 71792084 is about 8473.0209488706. The cubic root of 71792084 is about 415.6159315790.

The spelling of 71792084 in words is "seventy-one million, seven hundred ninety-two thousand, eighty-four".