72075337 has 2 divisors, whose sum is σ = 72075338. Its totient is φ = 72075336.

The previous prime is 72075331. The next prime is 72075347. The reversal of 72075337 is 73357027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59536656 + 12538681 = 7716^2 + 3541^2 .

It is a cyclic number.

It is not a de Polignac number, because 72075337 - 2³ = 72075329 is a prime.

It is not a weakly prime, because it can be changed into another prime (72075331) 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, 36037668 + 36037669.

It is an arithmetic number, because the mean of its divisors is an integer number (36037669).

Almost surely, 2^72075337 is an apocalyptic number.

It is an amenable number.

72075337 is a deficient number, since it is larger than the sum of its proper divisors (1).

72075337 is an equidigital number, since it uses as much as digits as its factorization.

72075337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 34.

The square root of 72075337 is about 8489.7194888877. The cubic root of 72075337 is about 416.1618133604.

It can be divided in two parts, 7207 and 5337, that added together give a square (12544 = 112²).

The spelling of 72075337 in words is "seventy-two million, seventy-five thousand, three hundred thirty-seven".