72583380 has 36 divisors (see below), whose sum is σ = 220170132. Its totient is φ = 19355520.

The previous prime is 72583337. The next prime is 72583391. The reversal of 72583380 is 8338527.

72583380 is a `hidden beast` number, since 72 + 583 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 14884164 = 7596^2 + 3858^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 201441 + ... + 201800.

It is an arithmetic number, because the mean of its divisors is an integer number (6115837).

Almost surely, 2^72583380 is an apocalyptic number.

It is an amenable number.

72583380 is an abundant number, since it is smaller than the sum of its proper divisors (147586752).

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

72583380 is a wasteful number, since it uses less digits than its factorization.

72583380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403256 (or 403251 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72583380 is about 8519.5880182084. The cubic root of 72583380 is about 417.1373355076.

The spelling of 72583380 in words is "seventy-two million, five hundred eighty-three thousand, three hundred eighty".