72533837 has 2 divisors, whose sum is σ = 72533838. Its totient is φ = 72533836.

The previous prime is 72533827. The next prime is 72533861. The reversal of 72533837 is 73833527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61371556 + 11162281 = 7834^2 + 3341^2 .

It is an emirp because it is prime and its reverse (73833527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72533837 - 2⁸ = 72533581 is a prime.

It is a super-2 number, since 2×72533837² = 10522315019885138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72533837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72533827) 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, 36266918 + 36266919.

It is an arithmetic number, because the mean of its divisors is an integer number (36266919).

Almost surely, 2^72533837 is an apocalyptic number.

It is an amenable number.

72533837 is a deficient number, since it is larger than the sum of its proper divisors (1).

72533837 is an equidigital number, since it uses as much as digits as its factorization.

72533837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 38.

The square root of 72533837 is about 8516.6799282349. The cubic root of 72533837 is about 417.0424058840.

The spelling of 72533837 in words is "seventy-two million, five hundred thirty-three thousand, eight hundred thirty-seven".