72582408 has 72 divisors (see below), whose sum is σ = 203316750. Its totient is φ = 23391360.

The previous prime is 72582407. The next prime is 72582431. The reversal of 72582408 is 80428527.

It is a happy number.

72582408 is a `hidden beast` number, since 72 + 582 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47361924 + 25220484 = 6882^2 + 5022^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (72582403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68668 + ... + 69716.

Almost surely, 2^72582408 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 72582408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101658375).

72582408 is an abundant number, since it is smaller than the sum of its proper divisors (130734342).

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

72582408 is a wasteful number, since it uses less digits than its factorization.

72582408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72582408 is about 8519.5309730055. The cubic root of 72582408 is about 417.1354734684.

The spelling of 72582408 in words is "seventy-two million, five hundred eighty-two thousand, four hundred eight".