729171072 has 384 divisors, whose sum is σ = 2646483840. Its totient is φ = 195084288.

The previous prime is 729171067. The next prime is 729171073. The reversal of 729171072 is 270171927.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (729171073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701278 + ... + 3701474.

It is an arithmetic number, because the mean of its divisors is an integer number (6891885).

Almost surely, 2^729171072 is an apocalyptic number.

729171072 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 729171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323241920).

729171072 is an abundant number, since it is smaller than the sum of its proper divisors (1917312768).

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

729171072 is a wasteful number, since it uses less digits than its factorization.

729171072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 729171072 is about 27003.1678141658. The cubic root of 729171072 is about 900.0703944939.

The spelling of 729171072 in words is "seven hundred twenty-nine million, one hundred seventy-one thousand, seventy-two".