72649157 has 16 divisors (see below), whose sum is σ = 86903040. Its totient is φ = 59493456.

The previous prime is 72649139. The next prime is 72649183. The reversal of 72649157 is 75194627.

It is not a de Polignac number, because 72649157 - 2¹⁸ = 72387013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72649457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84743 + ... + 85595.

It is an arithmetic number, because the mean of its divisors is an integer number (5431440).

Almost surely, 2^72649157 is an apocalyptic number.

It is an amenable number.

72649157 is a deficient number, since it is larger than the sum of its proper divisors (14253883).

72649157 is an frugal number, since it uses more digits than its factorization.

72649157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 883 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 72649157 is about 8523.4474832664. The cubic root of 72649157 is about 417.2633044660.

The spelling of 72649157 in words is "seventy-two million, six hundred forty-nine thousand, one hundred fifty-seven".