72086130 has 48 divisors (see below), whose sum is σ = 188037720. Its totient is φ = 19160064.

The previous prime is 72086111. The next prime is 72086143. The reversal of 72086130 is 3168027.

It can be written as a sum of positive squares in 4 ways, for example, as 35034561 + 37051569 = 5919^2 + 6087^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72086094 and 72086103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30636 + ... + 32904.

Almost surely, 2^72086130 is an apocalyptic number.

72086130 is an abundant number, since it is smaller than the sum of its proper divisors (115951590).

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

72086130 is a wasteful number, since it uses less digits than its factorization.

72086130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72086130 is about 8490.3551162481. The cubic root of 72086130 is about 416.1825851919.

The spelling of 72086130 in words is "seventy-two million, eighty-six thousand, one hundred thirty".