72712941 has 16 divisors (see below), whose sum is σ = 111304704. Its totient is φ = 41361264.

The previous prime is 72712909. The next prime is 72712951. The reversal of 72712941 is 14921727.

It is not a de Polignac number, because 72712941 - 2⁵ = 72712909 is a prime.

It is a super-3 number, since 3×72712941³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72712951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3081 + ... + 12446.

It is an arithmetic number, because the mean of its divisors is an integer number (6956544).

Almost surely, 2^72712941 is an apocalyptic number.

It is an amenable number.

72712941 is a deficient number, since it is larger than the sum of its proper divisors (38591763).

72712941 is a wasteful number, since it uses less digits than its factorization.

72712941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760.

The product of its digits is 7056, while the sum is 33.

The square root of 72712941 is about 8527.1883408308. The cubic root of 72712941 is about 417.3853840537.

The spelling of 72712941 in words is "seventy-two million, seven hundred twelve thousand, nine hundred forty-one".