72702729 has 36 divisors (see below), whose sum is σ = 116748996. Its totient is φ = 43560000.

The previous prime is 72702709. The next prime is 72702737. The reversal of 72702729 is 92720727.

It can be written as a sum of positive squares in 2 ways, for example, as 64834704 + 7868025 = 8052^2 + 2805^2 .

It is not a de Polignac number, because 72702729 - 2²⁰ = 71654153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72702693 and 72702702.

It is not an unprimeable number, because it can be changed into a prime (72702709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109659 + ... + 110319.

Almost surely, 2^72702729 is an apocalyptic number.

It is an amenable number.

72702729 is a deficient number, since it is larger than the sum of its proper divisors (44046267).

72702729 is a wasteful number, since it uses less digits than its factorization.

72702729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72702729 is about 8526.5895292315. The cubic root of 72702729 is about 417.3658435655.

It can be divided in two parts, 7270 and 2729, that added together give a palindrome (9999).

The spelling of 72702729 in words is "seventy-two million, seven hundred two thousand, seven hundred twenty-nine".