731728872 has 96 divisors (see below), whose sum is σ = 2326147200. Its totient is φ = 203409792.

The previous prime is 731728871. The next prime is 731728873. The reversal of 731728872 is 278827137.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (731728871) and next prime (731728873).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (731728871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 38267.

It is an arithmetic number, because the mean of its divisors is an integer number (24230700).

Almost surely, 2^731728872 is an apocalyptic number.

731728872 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 731728872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163073600).

731728872 is an abundant number, since it is smaller than the sum of its proper divisors (1594418328).

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

731728872 is a wasteful number, since it uses less digits than its factorization.

731728872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39295 (or 39288 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 731728872 is about 27050.4874632603. The cubic root of 731728872 is about 901.1215942634.

The spelling of 731728872 in words is "seven hundred thirty-one million, seven hundred twenty-eight thousand, eight hundred seventy-two".