72312773 has 8 divisors (see below), whose sum is σ = 78201816. Its totient is φ = 66470400.

The previous prime is 72312769. The next prime is 72312833. The reversal of 72312773 is 37721327.

It can be written as a sum of positive squares in 4 ways, for example, as 7300804 + 65011969 = 2702^2 + 8063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72312773 - 2² = 72312769 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72312073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8408 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (9775227).

Almost surely, 2^72312773 is an apocalyptic number.

It is an amenable number.

72312773 is a deficient number, since it is larger than the sum of its proper divisors (5889043).

72312773 is a wasteful number, since it uses less digits than its factorization.

72312773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335.

The product of its digits is 12348, while the sum is 32.

The square root of 72312773 is about 8503.6917277145. The cubic root of 72312773 is about 416.6182963227.

The spelling of 72312773 in words is "seventy-two million, three hundred twelve thousand, seven hundred seventy-three".