82735720 has 16 divisors (see below), whose sum is σ = 186155460. Its totient is φ = 33094272.

The previous prime is 82735711. The next prime is 82735721. The reversal of 82735720 is 2753728.

It can be written as a sum of positive squares in 2 ways, for example, as 81252196 + 1483524 = 9014^2 + 1218^2 .

It is not an unprimeable number, because it can be changed into a prime (82735721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1034157 + ... + 1034236.

Almost surely, 2^82735720 is an apocalyptic number.

It is an amenable number.

82735720 is an abundant number, since it is smaller than the sum of its proper divisors (103419740).

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

82735720 is a wasteful number, since it uses less digits than its factorization.

82735720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068404 (or 2068400 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 82735720 is about 9095.9177656793. The cubic root of 82735720 is about 435.7435997733.

The spelling of 82735720 in words is "eighty-two million, seven hundred thirty-five thousand, seven hundred twenty".