72824385 has 32 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 37276928.

The previous prime is 72824357. The next prime is 72824461. The reversal of 72824385 is 58342827.

It is a cyclic number.

It is not a de Polignac number, because 72824385 - 2⁹ = 72823873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36391 + ... + 38339.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2^72824385 is an apocalyptic number.

It is an amenable number.

72824385 is a deficient number, since it is larger than the sum of its proper divisors (48481215).

72824385 is a wasteful number, since it uses less digits than its factorization.

72824385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057.

The product of its digits is 107520, while the sum is 39.

The square root of 72824385 is about 8533.7204664788. The cubic root of 72824385 is about 417.5985114211.

Subtracting from 72824385 its sum of digits (39), we obtain a triangular number (72824346 = T₁₂₀₆₈).

The spelling of 72824385 in words is "seventy-two million, eight hundred twenty-four thousand, three hundred eighty-five".