72755280 has 160 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 17902080.

The previous prime is 72755261. The next prime is 72755281. The reversal of 72755280 is 8255727.

72755280 is a `hidden beast` number, since 7 + 27 + 552 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72755281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26785 + ... + 29375.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^72755280 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 72755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

72755280 is an abundant number, since it is smaller than the sum of its proper divisors (197227440).

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

72755280 is a wasteful number, since it uses less digits than its factorization.

72755280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72755280 is about 8529.6705680817. The cubic root of 72755280 is about 417.4663794983.

The spelling of 72755280 in words is "seventy-two million, seven hundred fifty-five thousand, two hundred eighty".