72085760 has 72 divisors (see below), whose sum is σ = 174148800. Its totient is φ = 28588032.

The previous prime is 72085721. The next prime is 72085771. The reversal of 72085760 is 6758027.

It is a self number, because there is not a number n which added to its sum of digits gives 72085760.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254579 + ... + 254861.

Almost surely, 2^72085760 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 72085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87074400).

72085760 is an abundant number, since it is smaller than the sum of its proper divisors (102063040).

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

72085760 is a wasteful number, since it uses less digits than its factorization.

72085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 72085760 is about 8490.3333267899. Note that the first 4 decimals coincide. The cubic root of 72085760 is about 416.1818731371.

The spelling of 72085760 in words is "seventy-two million, eighty-five thousand, seven hundred sixty".