72956753 has 8 divisors (see below), whose sum is σ = 74858280. Its totient is φ = 71061120.

The previous prime is 72956731. The next prime is 72956761. The reversal of 72956753 is 35765927.

It can be written as a sum of positive squares in 4 ways, for example, as 26553409 + 46403344 = 5153^2 + 6812^2 .

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 72956753 - 2¹² = 72952657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72956453) 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 in 7 ways as a sum of consecutive naturals, for example, 34943 + ... + 36971.

It is an arithmetic number, because the mean of its divisors is an integer number (9357285).

Almost surely, 2^72956753 is an apocalyptic number.

It is an amenable number.

72956753 is a deficient number, since it is larger than the sum of its proper divisors (1901527).

72956753 is a wasteful number, since it uses less digits than its factorization.

72956753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947.

The product of its digits is 396900, while the sum is 44.

The square root of 72956753 is about 8541.4725311272. The cubic root of 72956753 is about 417.8513718818.

The spelling of 72956753 in words is "seventy-two million, nine hundred fifty-six thousand, seven hundred fifty-three".