72581823 has 12 divisors (see below), whose sum is σ = 111007728. Its totient is φ = 45541440.

The previous prime is 72581801. The next prime is 72581833. The reversal of 72581823 is 32818527.

72581823 is a `hidden beast` number, since 72 + 581 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 72581823 - 2⁵ = 72581791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72581833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237043 + ... + 237348.

It is an arithmetic number, because the mean of its divisors is an integer number (9250644).

Almost surely, 2^72581823 is an apocalyptic number.

72581823 is a deficient number, since it is larger than the sum of its proper divisors (38425905).

72581823 is a wasteful number, since it uses less digits than its factorization.

72581823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474414 (or 474411 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 72581823 is about 8519.4966400604. The cubic root of 72581823 is about 417.1343527886.

The spelling of 72581823 in words is "seventy-two million, five hundred eighty-one thousand, eight hundred twenty-three".