734129706272 has 48 divisors (see below), whose sum is σ = 1481922072792. Its totient is φ = 357784903680.

The previous prime is 734129706203. The next prime is 734129706283. The reversal of 734129706272 is 272607921437.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231511096336 + 502618609936 = 481156^2 + 708956^2 .

It is a super-2 number, since 2×734129706272² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 734129706272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184228 + ... + 1694300.

Almost surely, 2^734129706272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734129706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740961036396).

734129706272 is an abundant number, since it is smaller than the sum of its proper divisors (747792366520).

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

734129706272 is a wasteful number, since it uses less digits than its factorization.

734129706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511221 (or 511213 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 734129706272 in words is "seven hundred thirty-four billion, one hundred twenty-nine million, seven hundred six thousand, two hundred seventy-two".