72729999 has 48 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 44352000.

The previous prime is 72729997. The next prime is 72730001. The reversal of 72729999 is 99992727.

It is an interprime number because it is at equal distance from previous prime (72729997) and next prime (72730001).

It is not a de Polignac number, because 72729999 - 2¹ = 72729997 is a prime.

72729999 is a modest number, since divided by 9999 gives 7272 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729991) 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, 720049 + ... + 720149.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^72729999 is an apocalyptic number.

72729999 is the 5394-th heptagonal number.

72729999 is a deficient number, since it is larger than the sum of its proper divisors (41836401).

72729999 is a wasteful number, since it uses less digits than its factorization.

72729999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 72729999 is about 8528.1884946335. The cubic root of 72729999 is about 417.4180201664.

It can be divided in two parts, 7272 and 9999, that added together give a palindrome (17271).

The spelling of 72729999 in words is "seventy-two million, seven hundred twenty-nine thousand, nine hundred ninety-nine".