729234432 has 132 divisors (see below), whose sum is σ = 2138885736. Its totient is φ = 239247360.

The previous prime is 729234409. The next prime is 729234433. The reversal of 729234432 is 234432927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729234433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616882 + ... + 618062.

Almost surely, 2^729234432 is an apocalyptic number.

729234432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069442868).

729234432 is an abundant number, since it is smaller than the sum of its proper divisors (1409651304).

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

729234432 is a wasteful number, since it uses less digits than its factorization.

729234432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1253 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 729234432 is about 27004.3409843677. The cubic root of 729234432 is about 900.0964637345.

The spelling of 729234432 in words is "seven hundred twenty-nine million, two hundred thirty-four thousand, four hundred thirty-two".