72430116 has 72 divisors (see below), whose sum is σ = 188315232. Its totient is φ = 21648000.

The previous prime is 72430097. The next prime is 72430121. The reversal of 72430116 is 61103427.

It is a super-2 number, since 2×72430116² = 10492243407546912, which contains 22 as substring.

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, 120216 + ... + 120816.

Almost surely, 2^72430116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72430116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94157616).

72430116 is an abundant number, since it is smaller than the sum of its proper divisors (115885116).

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

72430116 is a wasteful number, since it uses less digits than its factorization.

72430116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72430116 is about 8510.5884637903. The cubic root of 72430116 is about 416.8435254175.

The spelling of 72430116 in words is "seventy-two million, four hundred thirty thousand, one hundred sixteen".