72985901 has 2 divisors, whose sum is σ = 72985902. Its totient is φ = 72985900.

The previous prime is 72985817. The next prime is 72985907. The reversal of 72985901 is 10958927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71808676 + 1177225 = 8474^2 + 1085^2 .

It is a cyclic number.

It is not a de Polignac number, because 72985901 - 2¹⁸ = 72723757 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72985907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36492950 + 36492951.

It is an arithmetic number, because the mean of its divisors is an integer number (36492951).

Almost surely, 2^72985901 is an apocalyptic number.

It is an amenable number.

72985901 is a deficient number, since it is larger than the sum of its proper divisors (1).

72985901 is an equidigital number, since it uses as much as digits as its factorization.

72985901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 72985901 is about 8543.1786239081. The cubic root of 72985901 is about 417.9070117398.

The spelling of 72985901 in words is "seventy-two million, nine hundred eighty-five thousand, nine hundred one".