117729536 has 36 divisors (see below), whose sum is σ = 239460732. Its totient is φ = 57747456.

The previous prime is 117729533. The next prime is 117729559. The reversal of 117729536 is 635927711.

It can be written as a sum of positive squares in 2 ways, for example, as 57760000 + 59969536 = 7600^2 + 7744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 117729493 and 117729502.

It is not an unprimeable number, because it can be changed into a prime (117729533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9230 + ... + 17906.

It is an arithmetic number, because the mean of its divisors is an integer number (6651687).

Almost surely, 2^117729536 is an apocalyptic number.

117729536 is a gapful number since it is divisible by the number (16) 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 117729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119730366).

117729536 is an abundant number, since it is smaller than the sum of its proper divisors (121731196).

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

117729536 is an frugal number, since it uses more digits than its factorization.

117729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8732 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The square root of 117729536 is about 10850.3242347867. The cubic root of 117729536 is about 490.1117834654. Note that the first 3 decimals are identical.

The spelling of 117729536 in words is "one hundred seventeen million, seven hundred twenty-nine thousand, five hundred thirty-six".