167066172 has 192 divisors, whose sum is σ = 541900800. Its totient is φ = 43338240.

The previous prime is 167066149. The next prime is 167066197. The reversal of 167066172 is 271660761.

It is a super-2 number, since 2×167066172² = 55822211653467168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 874597 + ... + 874787.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^167066172 is an apocalyptic number.

167066172 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 167066172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

167066172 is an abundant number, since it is smaller than the sum of its proper divisors (374834628).

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

167066172 is a wasteful number, since it uses less digits than its factorization.

167066172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 167066172 is about 12925.4080012973. The cubic root of 167066172 is about 550.7605697966.

The spelling of 167066172 in words is "one hundred sixty-seven million, sixty-six thousand, one hundred seventy-two".