72824157 has 32 divisors (see below), whose sum is σ = 123705600. Its totient is φ = 41477184.

The previous prime is 72824153. The next prime is 72824183. The reversal of 72824157 is 75142827.

It is not a de Polignac number, because 72824157 - 2² = 72824153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72824153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95823 + ... + 96579.

It is an arithmetic number, because the mean of its divisors is an integer number (3865800).

Almost surely, 2^72824157 is an apocalyptic number.

It is an amenable number.

72824157 is a deficient number, since it is larger than the sum of its proper divisors (50881443).

72824157 is a wasteful number, since it uses less digits than its factorization.

72824157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72824157 is about 8533.7071076994. The cubic root of 72824157 is about 417.5980756121.

The spelling of 72824157 in words is "seventy-two million, eight hundred twenty-four thousand, one hundred fifty-seven".