727129872 has 120 divisors (see below), whose sum is σ = 2411887296. Its totient is φ = 207743616.

The previous prime is 727129861. The next prime is 727129873. The reversal of 727129872 is 278921727.

727129872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×727129872³ (a number of 28 digits) contains 333 as substring.

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 (727129873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13858 + ... + 40574.

Almost surely, 2^727129872 is an apocalyptic number.

727129872 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 727129872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205943648).

727129872 is an abundant number, since it is smaller than the sum of its proper divisors (1684757424).

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

727129872 is a wasteful number, since it uses less digits than its factorization.

727129872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26747 (or 26729 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 727129872 is about 26965.3457608094. The cubic root of 727129872 is about 899.2297409670.

The spelling of 727129872 in words is "seven hundred twenty-seven million, one hundred twenty-nine thousand, eight hundred seventy-two".