72579840 has 144 divisors (see below), whose sum is σ = 237970656. Its totient is φ = 18841600.

The previous prime is 72579839. The next prime is 72579841. The reversal of 72579840 is 4897527.

It is an interprime number because it is at equal distance from previous prime (72579839) and next prime (72579841).

It is a junction number, because it is equal to n+sod(n) for n = 72579792 and 72579801.

It is not an unprimeable number, because it can be changed into a prime (72579841) 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, 157210 + ... + 157670.

It is an arithmetic number, because the mean of its divisors is an integer number (1652574).

Almost surely, 2^72579840 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 72579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118985328).

72579840 is an abundant number, since it is smaller than the sum of its proper divisors (165390816).

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

72579840 is a wasteful number, since it uses less digits than its factorization.

72579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72579840 is about 8519.3802591503. The cubic root of 72579840 is about 417.1305539268.

The spelling of 72579840 in words is "seventy-two million, five hundred seventy-nine thousand, eight hundred forty".