72680461 has 16 divisors (see below), whose sum is σ = 87040000. Its totient is φ = 59376240.

The previous prime is 72680411. The next prime is 72680477. The reversal of 72680461 is 16408627.

It is not a de Polignac number, because 72680461 - 2¹⁵ = 72647693 is a prime.

It is a super-2 number, since 2×72680461² = 10564898822345042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72680411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12040 + ... + 17038.

It is an arithmetic number, because the mean of its divisors is an integer number (5440000).

Almost surely, 2^72680461 is an apocalyptic number.

It is an amenable number.

72680461 is a deficient number, since it is larger than the sum of its proper divisors (14359539).

72680461 is a wasteful number, since it uses less digits than its factorization.

72680461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72680461 is about 8525.2836316453. The cubic root of 72680461 is about 417.3232277804.

The spelling of 72680461 in words is "seventy-two million, six hundred eighty thousand, four hundred sixty-one".