72727620 has 96 divisors (see below), whose sum is σ = 238199808. Its totient is φ = 16232832.

The previous prime is 72727619. The next prime is 72727703. The reversal of 72727620 is 2672727.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16047 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (2481248).

Almost surely, 2^72727620 is an apocalyptic number.

72727620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72727620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119099904).

72727620 is an abundant number, since it is smaller than the sum of its proper divisors (165472188).

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

72727620 is a wasteful number, since it uses less digits than its factorization.

72727620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 72727620 is about 8528.0490148685. The cubic root of 72727620 is about 417.4134688656.

The spelling of 72727620 in words is "seventy-two million, seven hundred twenty-seven thousand, six hundred twenty".