82260072 has 48 divisors (see below), whose sum is σ = 223275780. Its totient is φ = 27360000.

The previous prime is 82260067. The next prime is 82260077. The reversal of 82260072 is 27006228.

It is an interprime number because it is at equal distance from previous prime (82260067) and next prime (82260077).

It can be written as a sum of positive squares in 2 ways, for example, as 81974916 + 285156 = 9054^2 + 534^2 .

It is not an unprimeable number, because it can be changed into a prime (82260077) 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, 42322 + ... + 44222.

Almost surely, 2^82260072 is an apocalyptic number.

It is an amenable number.

82260072 is an abundant number, since it is smaller than the sum of its proper divisors (141015708).

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

82260072 is a wasteful number, since it uses less digits than its factorization.

82260072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82260072 is about 9069.7338439449. The cubic root of 82260072 is about 434.9069638527.

The spelling of 82260072 in words is "eighty-two million, two hundred sixty thousand, seventy-two".