124072353 has 24 divisors (see below), whose sum is σ = 188458920. Its totient is φ = 78543360.

The previous prime is 124072349. The next prime is 124072357. The reversal of 124072353 is 353270421.

124072353 is a `hidden beast` number, since 1 + 240 + 72 + 353 = 666.

It is an interprime number because it is at equal distance from previous prime (124072349) and next prime (124072357).

It can be written as a sum of positive squares in 4 ways, for example, as 20277009 + 103795344 = 4503^2 + 10188^2 .

It is not a de Polignac number, because 124072353 - 2² = 124072349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (124072357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12025 + ... + 19817.

It is an arithmetic number, because the mean of its divisors is an integer number (7852455).

Almost surely, 2^124072353 is an apocalyptic number.

It is an amenable number.

124072353 is a deficient number, since it is larger than the sum of its proper divisors (64386567).

124072353 is a wasteful number, since it uses less digits than its factorization.

124072353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 124072353 is about 11138.7769974984. The cubic root of 124072353 is about 498.7600649975.

The spelling of 124072353 in words is "one hundred twenty-four million, seventy-two thousand, three hundred fifty-three".