72502037 has 2 divisors, whose sum is σ = 72502038. Its totient is φ = 72502036.

The previous prime is 72502007. The next prime is 72502057. The reversal of 72502037 is 73020527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50608996 + 21893041 = 7114^2 + 4679^2 .

It is an emirp because it is prime and its reverse (73020527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72502037 - 2²⁰ = 71453461 is a prime.

It is a super-3 number, since 3×72502037³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72501997 and 72502015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72502007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36251018 + 36251019.

It is an arithmetic number, because the mean of its divisors is an integer number (36251019).

Almost surely, 2^72502037 is an apocalyptic number.

It is an amenable number.

72502037 is a deficient number, since it is larger than the sum of its proper divisors (1).

72502037 is an equidigital number, since it uses as much as digits as its factorization.

72502037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 72502037 is about 8514.8127988817. The cubic root of 72502037 is about 416.9814509440.

The spelling of 72502037 in words is "seventy-two million, five hundred two thousand, thirty-seven".