72481740 has 96 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 18120960.

The previous prime is 72481711. The next prime is 72481757. The reversal of 72481740 is 4718427.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72645 + ... + 73635.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^72481740 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 72481740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

72481740 is an abundant number, since it is smaller than the sum of its proper divisors (143504436).

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

72481740 is a wasteful number, since it uses less digits than its factorization.

72481740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 72481740 is about 8513.6208513182. The cubic root of 72481740 is about 416.9425358883.

The spelling of 72481740 in words is "seventy-two million, four hundred eighty-one thousand, seven hundred forty".