82944072 has 48 divisors (see below), whose sum is σ = 234411840. Its totient is φ = 26445408.

The previous prime is 82944053. The next prime is 82944073. The reversal of 82944072 is 27044928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82944073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23388 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (4883580).

Almost surely, 2^82944072 is an apocalyptic number.

It is an amenable number.

82944072 is an abundant number, since it is smaller than the sum of its proper divisors (151467768).

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

82944072 is a wasteful number, since it uses less digits than its factorization.

82944072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50122 (or 50115 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82944072 is about 9107.3636141311. The cubic root of 82944072 is about 436.1090684686.

The spelling of 82944072 in words is "eighty-two million, nine hundred forty-four thousand, seventy-two".