72506610 has 64 divisors (see below), whose sum is σ = 210936960. Its totient is φ = 17576640.

The previous prime is 72506591. The next prime is 72506611. The reversal of 72506610 is 1660527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72506611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9237 + ... + 15176.

It is an arithmetic number, because the mean of its divisors is an integer number (3295890).

Almost surely, 2^72506610 is an apocalyptic number.

72506610 is an abundant number, since it is smaller than the sum of its proper divisors (138430350).

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

72506610 is a wasteful number, since it uses less digits than its factorization.

72506610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440 (or 24434 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72506610 is about 8515.0813266815. The cubic root of 72506610 is about 416.9902176681.

The spelling of 72506610 in words is "seventy-two million, five hundred six thousand, six hundred ten".