72597461 has 6 divisors (see below), whose sum is σ = 76619862. Its totient is φ = 68776200.

The previous prime is 72597457. The next prime is 72597479. The reversal of 72597461 is 16479527.

It can be written as a sum of positive squares in only one way, i.e., 45495025 + 27102436 = 6745^2 + 5206^2 .

It is not a de Polignac number, because 72597461 - 2² = 72597457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72597401) 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 5 ways as a sum of consecutive naturals, for example, 100190 + ... + 100911.

It is an arithmetic number, because the mean of its divisors is an integer number (12769977).

Almost surely, 2^72597461 is an apocalyptic number.

It is an amenable number.

72597461 is a deficient number, since it is larger than the sum of its proper divisors (4022401).

72597461 is a wasteful number, since it uses less digits than its factorization.

72597461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201139 (or 201120 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 72597461 is about 8520.4143678579. The cubic root of 72597461 is about 417.1643083079.

The spelling of 72597461 in words is "seventy-two million, five hundred ninety-seven thousand, four hundred sixty-one".