167772 has 48 divisors (see below), whose sum is σ = 451584. Its totient is φ = 48000.

The previous prime is 167771. The next prime is 167777. The reversal of 167772 is 277761.

It is a happy number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167771) 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, 4072 + ... + 4112.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2¹⁶⁷⁷⁷² is an apocalyptic number.

167772 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 167772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

167772 is an abundant number, since it is smaller than the sum of its proper divisors (283812).

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

167772 is a wasteful number, since it uses less digits than its factorization.

167772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 167772 is about 409.5998046875. The cubic root of 167772 is about 55.1535105320.

It can be divided in two parts, 167 and 772, that added together give a palindrome (939).

The spelling of 167772 in words is "one hundred sixty-seven thousand, seven hundred seventy-two".