729126792 has 64 divisors (see below), whose sum is σ = 2068473600. Its totient is φ = 237867840.

The previous prime is 729126781. The next prime is 729126809. The reversal of 729126792 is 297621927.

It is a super-2 number, since 2×729126792² = 1063251757624422528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25759 + ... + 46062.

It is an arithmetic number, because the mean of its divisors is an integer number (32319900).

Almost surely, 2^729126792 is an apocalyptic number.

729126792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

729126792 is an abundant number, since it is smaller than the sum of its proper divisors (1339346808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729126792 is a wasteful number, since it uses less digits than its factorization.

729126792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71883 (or 71873 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 729126792 is about 27002.3478979144. The cubic root of 729126792 is about 900.0521747530.

The spelling of 729126792 in words is "seven hundred twenty-nine million, one hundred twenty-six thousand, seven hundred ninety-two".