72685080 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 17210880.

The previous prime is 72685079. The next prime is 72685097. The reversal of 72685080 is 8058627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435157 + ... + 435323.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^72685080 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 72685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

72685080 is an abundant number, since it is smaller than the sum of its proper divisors (198265320).

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

72685080 is a wasteful number, since it uses less digits than its factorization.

72685080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72685080 is about 8525.5545274193. The cubic root of 72685080 is about 417.3320681901.

The spelling of 72685080 in words is "seventy-two million, six hundred eighty-five thousand, eighty".