726538131 has 72 divisors (see below), whose sum is σ = 1251722160. Its totient is φ = 402192000.

The previous prime is 726538123. The next prime is 726538157. The reversal of 726538131 is 131835627.

It is not a de Polignac number, because 726538131 - 2³ = 726538123 is a prime.

It is a super-2 number, since 2×726538131² = 1055715311593946322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726538181) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1036081 + ... + 1036781.

It is an arithmetic number, because the mean of its divisors is an integer number (17385030).

Almost surely, 2^726538131 is an apocalyptic number.

726538131 is a deficient number, since it is larger than the sum of its proper divisors (525184029).

726538131 is a wasteful number, since it uses less digits than its factorization.

726538131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 726538131 is about 26954.3712781434. The cubic root of 726538131 is about 898.9857425945.

The spelling of 726538131 in words is "seven hundred twenty-six million, five hundred thirty-eight thousand, one hundred thirty-one".