72513840 has 160 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 15593472.

The previous prime is 72513839. The next prime is 72513853. The reversal of 72513840 is 4831527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72513798 and 72513807.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27291 + ... + 29829.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^72513840 is an apocalyptic number.

72513840 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 72513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

72513840 is an abundant number, since it is smaller than the sum of its proper divisors (199611600).

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

72513840 is a wasteful number, since it uses less digits than its factorization.

72513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72513840 is about 8515.5058569647. The cubic root of 72513840 is about 417.0040772738.

The spelling of 72513840 in words is "seventy-two million, five hundred thirteen thousand, eight hundred forty".