168753972 has 48 divisors (see below), whose sum is σ = 420707840. Its totient is φ = 52490592.

The previous prime is 168753971. The next prime is 168754021. The reversal of 168753972 is 279357861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168753971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9753 + ... + 20799.

Almost surely, 2^168753972 is an apocalyptic number.

168753972 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 168753972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210353920).

168753972 is an abundant number, since it is smaller than the sum of its proper divisors (251953868).

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

168753972 is a wasteful number, since it uses less digits than its factorization.

168753972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140 (or 11138 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 168753972 is about 12990.5339382182. The cubic root of 168753972 is about 552.6090604578.

The spelling of 168753972 in words is "one hundred sixty-eight million, seven hundred fifty-three thousand, nine hundred seventy-two".