72541280 has 96 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 24675840.

The previous prime is 72541279. The next prime is 72541283. The reversal of 72541280 is 8214527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72541283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267545 + ... + 267815.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^72541280 is an apocalyptic number.

72541280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

72541280 is an abundant number, since it is smaller than the sum of its proper divisors (124865440).

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

72541280 is a wasteful number, since it uses less digits than its factorization.

72541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 72541280 is about 8517.1168830773. The cubic root of 72541280 is about 417.0566702172.

The spelling of 72541280 in words is "seventy-two million, five hundred forty-one thousand, two hundred eighty".