168748272 has 400 divisors, whose sum is σ = 648172800. Its totient is φ = 41057280.

The previous prime is 168748267. The next prime is 168748313. The reversal of 168748272 is 272847861.

168748272 is a `hidden beast` number, since 168 + 7 + 482 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1896004 + ... + 1896092.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^168748272 is an apocalyptic number.

168748272 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 168748272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324086400).

168748272 is an abundant number, since it is smaller than the sum of its proper divisors (479424528).

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

168748272 is a wasteful number, since it uses less digits than its factorization.

168748272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 168748272 is about 12990.3145458453. The cubic root of 168748272 is about 552.6028385655.

The spelling of 168748272 in words is "one hundred sixty-eight million, seven hundred forty-eight thousand, two hundred seventy-two".