72081882 has 48 divisors (see below), whose sum is σ = 162938880. Its totient is φ = 23004000.

The previous prime is 72081869. The next prime is 72081937. The reversal of 72081882 is 28818027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55719 + ... + 56997.

It is an arithmetic number, because the mean of its divisors is an integer number (3394560).

Almost surely, 2^72081882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72081882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81469440).

72081882 is an abundant number, since it is smaller than the sum of its proper divisors (90856998).

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

72081882 is a wasteful number, since it uses less digits than its factorization.

72081882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 72081882 is about 8490.1049463478. The cubic root of 72081882 is about 416.1744098866.

The spelling of 72081882 in words is "seventy-two million, eighty-one thousand, eight hundred eighty-two".