72501997 has 2 divisors, whose sum is σ = 72501998. Its totient is φ = 72501996.

The previous prime is 72501893. The next prime is 72502007. The reversal of 72501997 is 79910527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44475561 + 28026436 = 6669^2 + 5294^2 .

It is an emirp because it is prime and its reverse (79910527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72501997 - 2¹⁹ = 71977709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72501097) 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 as a sum of consecutive naturals, namely, 36250998 + 36250999.

It is an arithmetic number, because the mean of its divisors is an integer number (36250999).

Almost surely, 2^72501997 is an apocalyptic number.

It is an amenable number.

72501997 is a deficient number, since it is larger than the sum of its proper divisors (1).

72501997 is an equidigital number, since it uses as much as digits as its factorization.

72501997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39690, while the sum is 40.

The square root of 72501997 is about 8514.8104500335. The cubic root of 72501997 is about 416.9813742598.

The spelling of 72501997 in words is "seventy-two million, five hundred one thousand, nine hundred ninety-seven".