72044873 has 2 divisors, whose sum is σ = 72044874. Its totient is φ = 72044872.

The previous prime is 72044867. The next prime is 72044887. The reversal of 72044873 is 37844027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43454464 + 28590409 = 6592^2 + 5347^2 .

It is a cyclic number.

It is not a de Polignac number, because 72044873 - 2⁸ = 72044617 is a prime.

It is a super-2 number, since 2×72044873² = 10380927451172258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72044803) 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, 36022436 + 36022437.

It is an arithmetic number, because the mean of its divisors is an integer number (36022437).

Almost surely, 2^72044873 is an apocalyptic number.

It is an amenable number.

72044873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72044873 is an equidigital number, since it uses as much as digits as its factorization.

72044873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 72044873 is about 8487.9251292645. The cubic root of 72044873 is about 416.1031722189.

The spelling of 72044873 in words is "seventy-two million, forty-four thousand, eight hundred seventy-three".