72506466 has 12 divisors (see below), whose sum is σ = 157097382. Its totient is φ = 24168816.

The previous prime is 72506453. The next prime is 72506501. The reversal of 72506466 is 66460527.

72506466 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 646 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53714241 + 18792225 = 7329^2 + 4335^2 .

It is a super-2 number, since 2×72506466² = 10514375223618312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72506466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2014051 + ... + 2014086.

Almost surely, 2^72506466 is an apocalyptic number.

72506466 is an abundant number, since it is smaller than the sum of its proper divisors (84590916).

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

72506466 is a wasteful number, since it uses less digits than its factorization.

72506466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028145 (or 4028142 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 72506466 is about 8515.0728710916. The cubic root of 72506466 is about 416.9899416168.

The spelling of 72506466 in words is "seventy-two million, five hundred six thousand, four hundred sixty-six".