72583073 has 2 divisors, whose sum is σ = 72583074. Its totient is φ = 72583072.

The previous prime is 72583051. The next prime is 72583099. The reversal of 72583073 is 37038527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47100769 + 25482304 = 6863^2 + 5048^2 .

It is a cyclic number.

It is not a de Polignac number, because 72583073 - 2¹² = 72578977 is a prime.

It is a super-2 number, since 2×72583073² = 10536604972246658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72583033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36291536 + 36291537.

It is an arithmetic number, because the mean of its divisors is an integer number (36291537).

Almost surely, 2^72583073 is an apocalyptic number.

It is an amenable number.

72583073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72583073 is an equidigital number, since it uses as much as digits as its factorization.

72583073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 72583073 is about 8519.5700008862. The cubic root of 72583073 is about 417.1367473962.

The spelling of 72583073 in words is "seventy-two million, five hundred eighty-three thousand, seventy-three".