726132561 has 48 divisors (see below), whose sum is σ = 1247652864. Its totient is φ = 364932000.

The previous prime is 726132559. The next prime is 726132569. The reversal of 726132561 is 165231627.

It is not a de Polignac number, because 726132561 - 2¹ = 726132559 is a prime.

It is a super-2 number, since 2×726132561² = 1054536992288837442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (726132569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220356 + ... + 223626.

It is an arithmetic number, because the mean of its divisors is an integer number (25992768).

Almost surely, 2^726132561 is an apocalyptic number.

It is an amenable number.

726132561 is a deficient number, since it is larger than the sum of its proper divisors (521520303).

726132561 is a wasteful number, since it uses less digits than its factorization.

726132561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3323 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 726132561 is about 26946.8469584106. The cubic root of 726132561 is about 898.8184334077.

The spelling of 726132561 in words is "seven hundred twenty-six million, one hundred thirty-two thousand, five hundred sixty-one".