72137461 has 8 divisors (see below), whose sum is σ = 78991200. Its totient is φ = 65333040.

The previous prime is 72137459. The next prime is 72137497. The reversal of 72137461 is 16473127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72137461 - 2¹ = 72137459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72137411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9231 + ... + 15148.

It is an arithmetic number, because the mean of its divisors is an integer number (9873900).

Almost surely, 2^72137461 is an apocalyptic number.

It is an amenable number.

72137461 is a deficient number, since it is larger than the sum of its proper divisors (6853739).

72137461 is a wasteful number, since it uses less digits than its factorization.

72137461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24659.

The product of its digits is 7056, while the sum is 31.

The square root of 72137461 is about 8493.3774789538. The cubic root of 72137461 is about 416.2813466760.

The spelling of 72137461 in words is "seventy-two million, one hundred thirty-seven thousand, four hundred sixty-one".