72770560 has 88 divisors (see below), whose sum is σ = 178187256. Its totient is φ = 28508160.

The previous prime is 72770539. The next prime is 72770563. The reversal of 72770560 is 6507727.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 71368704 = 1184^2 + 8448^2 .

It is not an unprimeable number, because it can be changed into a prime (72770563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312204 + ... + 312436.

Almost surely, 2^72770560 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 72770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093628).

72770560 is an abundant number, since it is smaller than the sum of its proper divisors (105416696).

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

72770560 is a wasteful number, since it uses less digits than its factorization.

72770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 72770560 is about 8530.5662180186. The cubic root of 72770560 is about 417.4956027601.

The spelling of 72770560 in words is "seventy-two million, seven hundred seventy thousand, five hundred sixty".