72801729 has 48 divisors (see below), whose sum is σ = 141208704. Its totient is φ = 34905600.

The previous prime is 72801721. The next prime is 72801737. The reversal of 72801729 is 92710827.

It is an interprime number because it is at equal distance from previous prime (72801721) and next prime (72801737).

It is not a de Polignac number, because 72801729 - 2³ = 72801721 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72801693 and 72801702.

It is not an unprimeable number, because it can be changed into a prime (72801721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4969 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (2941848).

Almost surely, 2^72801729 is an apocalyptic number.

It is an amenable number.

72801729 is a deficient number, since it is larger than the sum of its proper divisors (68406975).

72801729 is a wasteful number, since it uses less digits than its factorization.

72801729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72801729 is about 8532.3929234418. The cubic root of 72801729 is about 417.5552013257. Note that the first 3 decimals are identical.

It can be divided in two parts, 7280 and 1729, that added together give a palindrome (9009).

The spelling of 72801729 in words is "seventy-two million, eight hundred one thousand, seven hundred twenty-nine".