146772 has 36 divisors (see below), whose sum is σ = 387296. Its totient is φ = 48600.

The previous prime is 146767. The next prime is 146777. The reversal of 146772 is 277641.

146772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146767) and next prime (146777).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146777) by changing a digit.

146772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 1047.

2¹⁴⁶⁷⁷² is an apocalyptic number.

146772 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 146772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193648).

146772 is an abundant number, since it is smaller than the sum of its proper divisors (240524).

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

146772 is a wasteful number, since it uses less digits than its factorization.

146772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 146772 is about 383.1083397683. The cubic root of 146772 is about 52.7490210431.

It can be divided in two parts, 14 and 6772, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 146772 in words is "one hundred forty-six thousand, seven hundred seventy-two".