72132701 has 2 divisors, whose sum is σ = 72132702. Its totient is φ = 72132700.

The previous prime is 72132673. The next prime is 72132707. The reversal of 72132701 is 10723127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65189476 + 6943225 = 8074^2 + 2635^2 .

It is a cyclic number.

It is not a de Polignac number, because 72132701 - 2¹⁰ = 72131677 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72132707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36066350 + 36066351.

It is an arithmetic number, because the mean of its divisors is an integer number (36066351).

Almost surely, 2^72132701 is an apocalyptic number.

It is an amenable number.

72132701 is a deficient number, since it is larger than the sum of its proper divisors (1).

72132701 is an equidigital number, since it uses as much as digits as its factorization.

72132701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 72132701 is about 8493.0972560074. The cubic root of 72132701 is about 416.2721903479.

Adding to 72132701 its reverse (10723127), we get a palindrome (82855828).

The spelling of 72132701 in words is "seventy-two million, one hundred thirty-two thousand, seven hundred one".