72506910 has 32 divisors (see below), whose sum is σ = 198876672. Its totient is φ = 16572960.

The previous prime is 72506899. The next prime is 72506927. The reversal of 72506910 is 1960527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172426 + ... + 172845.

It is an arithmetic number, because the mean of its divisors is an integer number (6214896).

Almost surely, 2^72506910 is an apocalyptic number.

72506910 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72506910 is an abundant number, since it is smaller than the sum of its proper divisors (126369762).

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

72506910 is a wasteful number, since it uses less digits than its factorization.

72506910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345288.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 72506910 is about 8515.0989424668. The cubic root of 72506910 is about 416.9907927738.

The spelling of 72506910 in words is "seventy-two million, five hundred six thousand, nine hundred ten".