72645408 has 144 divisors (see below), whose sum is σ = 235400256. Its totient is φ = 21035520.

The previous prime is 72645407. The next prime is 72645413. The reversal of 72645408 is 80454627.

72645408 is a `hidden beast` number, since 7 + 2 + 645 + 4 + 0 + 8 = 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 not an unprimeable number, because it can be changed into a prime (72645407) 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 23 ways as a sum of consecutive naturals, for example, 72366 + ... + 73362.

It is an arithmetic number, because the mean of its divisors is an integer number (1634724).

Almost surely, 2^72645408 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 72645408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117700128).

72645408 is an abundant number, since it is smaller than the sum of its proper divisors (162754848).

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

72645408 is a wasteful number, since it uses less digits than its factorization.

72645408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

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

The square root of 72645408 is about 8523.2275576802. The cubic root of 72645408 is about 417.2561268326.

The spelling of 72645408 in words is "seventy-two million, six hundred forty-five thousand, four hundred eight".