72901 has 2 divisors, whose sum is σ = 72902. Its totient is φ = 72900.

The previous prime is 72893. The next prime is 72907. The reversal of 72901 is 10927.

It is a Cunningham number, because it is equal to 270²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 1 = 270^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 72901 - 2³ = 72893 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36450 + 36451.

It is an arithmetic number, because the mean of its divisors is an integer number (36451).

2⁷²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

72901 is a deficient number, since it is larger than the sum of its proper divisors (1).

72901 is an equidigital number, since it uses as much as digits as its factorization.

72901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 72901 is about 270.0018518455. The cubic root of 72901 is about 41.7744905135.

The spelling of 72901 in words is "seventy-two thousand, nine hundred one".