72579240 has 224 divisors, whose sum is σ = 259696800. Its totient is φ = 18195840.

The previous prime is 72579223. The next prime is 72579251. The reversal of 72579240 is 4297527.

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

It is a junction number, because it is equal to n+sod(n) for n = 72579195 and 72579204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 553975 + ... + 554105.

Almost surely, 2^72579240 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 72579240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129848400).

72579240 is an abundant number, since it is smaller than the sum of its proper divisors (187117560).

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

72579240 is a wasteful number, since it uses less digits than its factorization.

72579240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72579240 is about 8519.3450452485. The cubic root of 72579240 is about 417.1294044844.

The spelling of 72579240 in words is "seventy-two million, five hundred seventy-nine thousand, two hundred forty".