72657243 has 14 divisors (see below), whose sum is σ = 108937124. Its totient is φ = 48437676.

The previous prime is 72657239. The next prime is 72657257. The reversal of 72657243 is 34275627.

It is a happy number.

It is not a de Polignac number, because 72657243 - 2² = 72657239 is a prime.

It is a super-2 number, since 2×72657243² = 10558149920722098, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72657198 and 72657207.

It is not an unprimeable number, because it can be changed into a prime (72655243) 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 13 ways as a sum of consecutive naturals, for example, 49105 + ... + 50562.

Almost surely, 2^72657243 is an apocalyptic number.

72657243 is a deficient number, since it is larger than the sum of its proper divisors (36279881).

72657243 is an frugal number, since it uses more digits than its factorization.

72657243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99685 (or 99670 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72657243 is about 8523.9218086512. The cubic root of 72657243 is about 417.2787846452.

It can be divided in two parts, 726572 and 43, that added together give a triangular number (726615 = T₁₂₀₅).

The spelling of 72657243 in words is "seventy-two million, six hundred fifty-seven thousand, two hundred forty-three".