72772180 has 48 divisors (see below), whose sum is σ = 167714064. Its totient is φ = 26357760.

The previous prime is 72772177. The next prime is 72772243. The reversal of 72772180 is 8127727.

It can be written as a sum of positive squares in 8 ways, for example, as 8964036 + 63808144 = 2994^2 + 7988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11140 + ... + 16420.

It is an arithmetic number, because the mean of its divisors is an integer number (3494043).

Almost surely, 2^72772180 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 72772180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83857032).

72772180 is an abundant number, since it is smaller than the sum of its proper divisors (94941884).

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

72772180 is a wasteful number, since it uses less digits than its factorization.

72772180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 72772180 is about 8530.6611701556. The cubic root of 72772180 is about 417.4987007979.

The spelling of 72772180 in words is "seventy-two million, seven hundred seventy-two thousand, one hundred eighty".