729812160 has 448 divisors, whose sum is σ = 3212835840. Its totient is φ = 151511040.

The previous prime is 729812147. The next prime is 729812203. The reversal of 729812160 is 61218927.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664732 + ... + 665828.

Almost surely, 2^729812160 is an apocalyptic number.

729812160 is a gapful number since it is divisible by the number (70) 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 729812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606417920).

729812160 is an abundant number, since it is smaller than the sum of its proper divisors (2483023680).

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

729812160 is a wasteful number, since it uses less digits than its factorization.

729812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 729812160 is about 27015.0358134132. The cubic root of 729812160 is about 900.3340981829.

The spelling of 729812160 in words is "seven hundred twenty-nine million, eight hundred twelve thousand, one hundred sixty".