272401731 has 48 divisors (see below), whose sum is σ = 474240000. Its totient is φ = 154069776.

The previous prime is 272401721. The next prime is 272401741. The reversal of 272401731 is 137104272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272401721) and next prime (272401741).

It is not a de Polignac number, because 272401731 - 2⁶ = 272401667 is a prime.

It is a super-2 number, since 2×272401731² = 148405406103592722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 272401695 and 272401704.

It is not an unprimeable number, because it can be changed into a prime (272401721) 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 47 ways as a sum of consecutive naturals, for example, 135270 + ... + 137268.

It is an arithmetic number, because the mean of its divisors is an integer number (9880000).

Almost surely, 2^272401731 is an apocalyptic number.

272401731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

272401731 is a deficient number, since it is larger than the sum of its proper divisors (201838269).

272401731 is a wasteful number, since it uses less digits than its factorization.

272401731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 272401731 is about 16504.5972686400. The cubic root of 272401731 is about 648.2411867962.

The spelling of 272401731 in words is "two hundred seventy-two million, four hundred one thousand, seven hundred thirty-one".