72253431 has 8 divisors (see below), whose sum is σ = 107042160. Its totient is φ = 48168936.

The previous prime is 72253427. The next prime is 72253477. The reversal of 72253431 is 13435227.

72253431 is a `hidden beast` number, since 7 + 225 + 3 + 431 = 666.

It is not a de Polignac number, because 72253431 - 2² = 72253427 is a prime.

It is a super-2 number, since 2×72253431² = 10441116582543522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2676053 = 72253431 / (7 + 2 + 2 + 5 + 3 + 4 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 72253395 and 72253404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72253421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1338000 + ... + 1338053.

It is an arithmetic number, because the mean of its divisors is an integer number (13380270).

Almost surely, 2^72253431 is an apocalyptic number.

72253431 is a deficient number, since it is larger than the sum of its proper divisors (34788729).

72253431 is a wasteful number, since it uses less digits than its factorization.

72253431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676062 (or 2676056 counting only the distinct ones).

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

The square root of 72253431 is about 8500.2018211334. The cubic root of 72253431 is about 416.5043020365.

Adding to 72253431 its reverse (13435227), we get a palindrome (85688658).

It can be divided in two parts, 7225343 and 1, that added together give a square (7225344 = 2688²).

The spelling of 72253431 in words is "seventy-two million, two hundred fifty-three thousand, four hundred thirty-one".