72257203249 has 27 divisors (see below), whose sum is σ = 92416733913. Its totient is φ = 56288185800.

The previous prime is 72257203231. The next prime is 72257203283. The reversal of 72257203249 is 94230275227.

The square root of 72257203249 is 268807.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 72257203249 - 2²⁷ = 72122985521 is a prime.

It is a super-2 number, since 2×72257203249² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72257203229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20696394 + ... + 20699884.

Almost surely, 2^72257203249 is an apocalyptic number.

72257203249 is the 268807-th square number.

72257203249 is the 134404-th centered octagonal number.

It is an amenable number.

72257203249 is a deficient number, since it is larger than the sum of its proper divisors (20159530664).

72257203249 is an frugal number, since it uses more digits than its factorization.

72257203249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 72257203249 in words is "seventy-two billion, two hundred fifty-seven million, two hundred three thousand, two hundred forty-nine".