117777972 has 96 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 33656832.

The previous prime is 117777971. The next prime is 117777991. The reversal of 117777972 is 279777711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117777971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235779 + ... + 236277.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^117777972 is an apocalyptic number.

117777972 is a gapful number since it is divisible by the number (12) 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 117777972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

117777972 is an abundant number, since it is smaller than the sum of its proper divisors (199742028).

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

117777972 is a wasteful number, since it uses less digits than its factorization.

117777972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its digits is 302526, while the sum is 48.

The square root of 117777972 is about 10852.5560122950. The cubic root of 117777972 is about 490.1789877835.

The spelling of 117777972 in words is "one hundred seventeen million, seven hundred seventy-seven thousand, nine hundred seventy-two".