148672 has 28 divisors (see below), whose sum is σ = 310896. Its totient is φ = 70400.

The previous prime is 148669. The next prime is 148691. The reversal of 148672 is 276841.

It is a d-powerful number, because it can be written as 1 + 4³ + 6³ + 8³ + 7⁵ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 148672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 1522.

2¹⁴⁸⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448).

148672 is an abundant number, since it is smaller than the sum of its proper divisors (162224).

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

148672 is a wasteful number, since it uses less digits than its factorization.

148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 148672 is about 385.5800824731. The cubic root of 148672 is about 52.9756622564.

It can be divided in two parts, 148 and 672, that added together give a triangular number (820 = T₄₀).

The spelling of 148672 in words is "one hundred forty-eight thousand, six hundred seventy-two".