729129456 has 120 divisors (see below), whose sum is σ = 2357085744. Its totient is φ = 207943680.

The previous prime is 729129451. The next prime is 729129461. The reversal of 729129456 is 654921927.

729129456 is a `hidden beast` number, since 72 + 9 + 129 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (729129451) and next prime (729129461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729129451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13390 + ... + 40466.

Almost surely, 2^729129456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729129456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178542872).

729129456 is an abundant number, since it is smaller than the sum of its proper divisors (1627956288).

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

729129456 is a wasteful number, since it uses less digits than its factorization.

729129456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27119 (or 27110 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 729129456 is about 27002.3972269130. The cubic root of 729129456 is about 900.0532709209.

The spelling of 729129456 in words is "seven hundred twenty-nine million, one hundred twenty-nine thousand, four hundred fifty-six".