72148257 has 12 divisors (see below), whose sum is σ = 104329680. Its totient is φ = 48045528.

The previous prime is 72148199. The next prime is 72148273. The reversal of 72148257 is 75284127.

It is not a de Polignac number, because 72148257 - 2¹⁰ = 72147233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72148057) 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 11 ways as a sum of consecutive naturals, for example, 5238 + ... + 13104.

It is an arithmetic number, because the mean of its divisors is an integer number (8694140).

Almost surely, 2^72148257 is an apocalyptic number.

It is an amenable number.

72148257 is a deficient number, since it is larger than the sum of its proper divisors (32181423).

72148257 is a wasteful number, since it uses less digits than its factorization.

72148257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8889 counting only the distinct ones).

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

The square root of 72148257 is about 8494.0130091730. The cubic root of 72148257 is about 416.3021123512.

The spelling of 72148257 in words is "seventy-two million, one hundred forty-eight thousand, two hundred fifty-seven".