734059872 has 288 divisors, whose sum is σ = 2642133312. Its totient is φ = 188116992.

The previous prime is 734059871. The next prime is 734059883. The reversal of 734059872 is 278950437.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734059871) 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, 969318 + ... + 970074.

It is an arithmetic number, because the mean of its divisors is an integer number (9174074).

Almost surely, 2^734059872 is an apocalyptic number.

734059872 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 734059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321066656).

734059872 is an abundant number, since it is smaller than the sum of its proper divisors (1908073440).

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

734059872 is a wasteful number, since it uses less digits than its factorization.

734059872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 734059872 is about 27093.5393036790. The cubic root of 734059872 is about 902.0774528175.

The spelling of 734059872 in words is "seven hundred thirty-four million, fifty-nine thousand, eight hundred seventy-two".