72817753 has 12 divisors (see below), whose sum is σ = 76424940. Its totient is φ = 69297536.

The previous prime is 72817733. The next prime is 72817757. The reversal of 72817753 is 35771827.

It can be written as a sum of positive squares in 6 ways, for example, as 22733824 + 50083929 = 4768^2 + 7077^2 .

It is not a de Polignac number, because 72817753 - 2⁵ = 72817721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72817757) 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 11 ways as a sum of consecutive naturals, for example, 229551 + ... + 229867.

It is an arithmetic number, because the mean of its divisors is an integer number (6368745).

Almost surely, 2^72817753 is an apocalyptic number.

It is an amenable number.

72817753 is a deficient number, since it is larger than the sum of its proper divisors (3607187).

72817753 is an equidigital number, since it uses as much as digits as its factorization.

72817753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 435 counting only the distinct ones).

The product of its digits is 82320, while the sum is 40.

The square root of 72817753 is about 8533.3318815103. The cubic root of 72817753 is about 417.5858343606.

It can be divided in two parts, 728 and 17753, that added together give a palindrome (18481).

The spelling of 72817753 in words is "seventy-two million, eight hundred seventeen thousand, seven hundred fifty-three".