729911325 has 144 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 311308800.

The previous prime is 729911267. The next prime is 729911341. The reversal of 729911325 is 523119927.

It is not a de Polignac number, because 729911325 - 2¹¹ = 729909277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (34020) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2713291 + ... + 2713559.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2^729911325 is an apocalyptic number.

729911325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

729911325 is an abundant number, since it is smaller than the sum of its proper divisors (766242915).

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

729911325 is a wasteful number, since it uses less digits than its factorization.

729911325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 729911325 is about 27016.8711178774. The cubic root of 729911325 is about 900.3748746969.

It can be divided in two parts, 729911 and 325, that added together give a triangular number (730236 = T₁₂₀₈).

The spelling of 729911325 in words is "seven hundred twenty-nine million, nine hundred eleven thousand, three hundred twenty-five".