72088901 has 2 divisors, whose sum is σ = 72088902. Its totient is φ = 72088900.

The previous prime is 72088889. The next prime is 72088909. The reversal of 72088901 is 10988027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59136100 + 12952801 = 7690^2 + 3599^2 .

It is a cyclic number.

It is not a de Polignac number, because 72088901 - 2⁶ = 72088837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72088909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36044450 + 36044451.

It is an arithmetic number, because the mean of its divisors is an integer number (36044451).

Almost surely, 2^72088901 is an apocalyptic number.

It is an amenable number.

72088901 is a deficient number, since it is larger than the sum of its proper divisors (1).

72088901 is an equidigital number, since it uses as much as digits as its factorization.

72088901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 72088901 is about 8490.5182998448. The cubic root of 72088901 is about 416.1879178274.

The spelling of 72088901 in words is "seventy-two million, eighty-eight thousand, nine hundred one".