72270880 has 72 divisors (see below), whose sum is σ = 187723116. Its totient is φ = 26273280.

The previous prime is 72270857. The next prime is 72270883. The reversal of 72270880 is 8807227.

It can be written as a sum of positive squares in 2 ways, for example, as 72114064 + 156816 = 8492^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (72270883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17494 + ... + 21226.

Almost surely, 2^72270880 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 72270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93861558).

72270880 is an abundant number, since it is smaller than the sum of its proper divisors (115452236).

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

72270880 is a wasteful number, since it uses less digits than its factorization.

72270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 72270880 is about 8501.2281465680. The cubic root of 72270880 is about 416.5378275430.

The spelling of 72270880 in words is "seventy-two million, two hundred seventy thousand, eight hundred eighty".