72948681 has 45 divisors (see below), whose sum is σ = 119638629. Its totient is φ = 44276544.

The previous prime is 72948671. The next prime is 72948703. The reversal of 72948681 is 18684927.

The square root of 72948681 is 8541.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 65610000 = 2709^2 + 8100^2 .

It is not a de Polignac number, because 72948681 - 2¹¹ = 72946633 is a prime.

It is a super-2 number, since 2×72948681² = 10643020119279522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72948671) 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 44 ways as a sum of consecutive naturals, for example, 999261 + ... + 999333.

Almost surely, 2^72948681 is an apocalyptic number.

72948681 is the 8541-st square number.

72948681 is the 4271-st centered octagonal number.

It is an amenable number.

72948681 is a deficient number, since it is larger than the sum of its proper divisors (46689948).

72948681 is an equidigital number, since it uses as much as digits as its factorization.

72948681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 89 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The cubic root of 72948681 is about 417.8359608310.

It can be divided in two parts, 72 and 948681, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 72948681 in words is "seventy-two million, nine hundred forty-eight thousand, six hundred eighty-one".