72037733 has 2 divisors, whose sum is σ = 72037734. Its totient is φ = 72037732.

The previous prime is 72037727. The next prime is 72037741. The reversal of 72037733 is 33773027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52519009 + 19518724 = 7247^2 + 4418^2 .

It is an emirp because it is prime and its reverse (33773027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72037733 - 2²⁰ = 70989157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72037733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72037333) 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, 36018866 + 36018867.

It is an arithmetic number, because the mean of its divisors is an integer number (36018867).

Almost surely, 2^72037733 is an apocalyptic number.

It is an amenable number.

72037733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72037733 is an equidigital number, since it uses as much as digits as its factorization.

72037733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 32.

The square root of 72037733 is about 8487.5045213537. The cubic root of 72037733 is about 416.0894258103.

The spelling of 72037733 in words is "seventy-two million, thirty-seven thousand, seven hundred thirty-three".