810610072 has 32 divisors (see below), whose sum is σ = 1651507200. Its totient is φ = 371584800.

The previous prime is 810610069. The next prime is 810610159. The reversal of 810610072 is 270016018.

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 7 ways as a sum of consecutive naturals, for example, 81304 + ... + 90727.

It is an arithmetic number, because the mean of its divisors is an integer number (51609600).

Almost surely, 2^810610072 is an apocalyptic number.

It is an amenable number.

810610072 is an abundant number, since it is smaller than the sum of its proper divisors (840897128).

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

810610072 is a wasteful number, since it uses less digits than its factorization.

810610072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172087 (or 172083 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 810610072 is about 28471.2147967030. The cubic root of 810610072 is about 932.4037221359.

The spelling of 810610072 in words is "eight hundred ten million, six hundred ten thousand, seventy-two".