72541480 has 64 divisors (see below), whose sum is σ = 179755200. Its totient is φ = 26127360.

The previous prime is 72541477. The next prime is 72541489. The reversal of 72541480 is 8414527.

It is not an unprimeable number, because it can be changed into a prime (72541489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48991 + ... + 50449.

It is an arithmetic number, because the mean of its divisors is an integer number (2808675).

Almost surely, 2^72541480 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 72541480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877600).

72541480 is an abundant number, since it is smaller than the sum of its proper divisors (107213720).

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

72541480 is a wasteful number, since it uses less digits than its factorization.

72541480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 72541480 is about 8517.1286241315. The cubic root of 72541480 is about 417.0570534990.

The spelling of 72541480 in words is "seventy-two million, five hundred forty-one thousand, four hundred eighty".