731727360 has 480 divisors, whose sum is σ = 3127924800. Its totient is φ = 153944064.

The previous prime is 731727343. The next prime is 731727361. The reversal of 731727360 is 63727137.

It is a tau number, because it is divible by the number of its divisors (480).

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 (731727361) 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, 2096466 + ... + 2096814.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^731727360 is an apocalyptic number.

731727360 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 731727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563962400).

731727360 is an abundant number, since it is smaller than the sum of its proper divisors (2396197440).

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

731727360 is a wasteful number, since it uses less digits than its factorization.

731727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 731727360 is about 27050.4595155055. The cubic root of 731727360 is about 901.1209735887.

The spelling of 731727360 in words is "seven hundred thirty-one million, seven hundred twenty-seven thousand, three hundred sixty".