729057024 has 90 divisors (see below), whose sum is σ = 2173977960. Its totient is φ = 243012096.

The previous prime is 729057023. The next prime is 729057097. The reversal of 729057024 is 420750927.

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

It is a self number, because there is not a number n which added to its sum of digits gives 729057024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729057023) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3157 + ... + 38315.

Almost surely, 2^729057024 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 729057024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086988980).

729057024 is an abundant number, since it is smaller than the sum of its proper divisors (1444920936).

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

729057024 is an equidigital number, since it uses as much as digits as its factorization.

729057024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187 (or 35164 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 729057024 is about 27001.0559793501. The cubic root of 729057024 is about 900.0234660548.

The spelling of 729057024 in words is "seven hundred twenty-nine million, fifty-seven thousand, twenty-four".