168154272 has 192 divisors, whose sum is σ = 576616320. Its totient is φ = 47001600.

The previous prime is 168154241. The next prime is 168154303. The reversal of 168154272 is 272451861.

It is an interprime number because it is at equal distance from previous prime (168154241) and next prime (168154303).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122872 + ... + 124232.

It is an arithmetic number, because the mean of its divisors is an integer number (3003210).

Almost surely, 2^168154272 is an apocalyptic number.

168154272 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 168154272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288308160).

168154272 is an abundant number, since it is smaller than the sum of its proper divisors (408462048).

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

168154272 is a wasteful number, since it uses less digits than its factorization.

168154272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 168154272 is about 12967.4312028250. The cubic root of 168154272 is about 551.9536823140.

The spelling of 168154272 in words is "one hundred sixty-eight million, one hundred fifty-four thousand, two hundred seventy-two".