72613440 has 168 divisors, whose sum is σ = 263103360. Its totient is φ = 18330624.

The previous prime is 72613417. The next prime is 72613469. The reversal of 72613440 is 4431627.

72613440 is a `hidden beast` number, since 7 + 2 + 613 + 4 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54057 + ... + 55383.

Almost surely, 2^72613440 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 72613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131551680).

72613440 is an abundant number, since it is smaller than the sum of its proper divisors (190489920).

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

72613440 is a wasteful number, since it uses less digits than its factorization.

72613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72613440 is about 8521.3520054038. The cubic root of 72613440 is about 417.1949125898.

It can be divided in two parts, 7261 and 3440, that added together give a palindrome (10701).

The spelling of 72613440 in words is "seventy-two million, six hundred thirteen thousand, four hundred forty".