172162368 has 224 divisors, whose sum is σ = 593669120. Its totient is φ = 47900160.

The previous prime is 172162327. The next prime is 172162373. The reversal of 172162368 is 863261271.

172162368 is a `hidden beast` number, since 1 + 7 + 21 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519963 + ... + 520293.

Almost surely, 2^172162368 is an apocalyptic number.

172162368 is a gapful number since it is divisible by the number (18) 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 172162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296834560).

172162368 is an abundant number, since it is smaller than the sum of its proper divisors (421506752).

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

172162368 is a wasteful number, since it uses less digits than its factorization.

172162368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 386 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 172162368 is about 13121.0658103677. The cubic root of 172162368 is about 556.3047171188.

The spelling of 172162368 in words is "one hundred seventy-two million, one hundred sixty-two thousand, three hundred sixty-eight".