72548640 has 144 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 19081728.

The previous prime is 72548629. The next prime is 72548659. The reversal of 72548640 is 4684527.

72548640 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 72548595 and 72548604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119217 + ... + 119823.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^72548640 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 72548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

72548640 is an abundant number, since it is smaller than the sum of its proper divisors (178419168).

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

72548640 is a wasteful number, since it uses less digits than its factorization.

72548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72548640 is about 8517.5489432113. The cubic root of 72548640 is about 417.0707745235.

The spelling of 72548640 in words is "seventy-two million, five hundred forty-eight thousand, six hundred forty".