276672 has 56 divisors (see below), whose sum is σ = 804672. Its totient is φ = 83200.

The previous prime is 276671. The next prime is 276673.

276672 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (276671) and next prime (276673).

Its product of digits (7056) is a multiple of the sum of its prime divisors (147).

It is not an unprimeable number, because it can be changed into a prime (276671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047 + ... + 2177.

2²⁷⁶⁶⁷² is an apocalyptic number.

276672 is a gapful number since it is divisible by the number (22) 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 276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336).

276672 is an abundant number, since it is smaller than the sum of its proper divisors (528000).

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

276672 is a wasteful number, since it uses less digits than its factorization.

276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 276672 is about 525.9961977049. The cubic root of 276672 is about 65.1610994067.

The spelling of 276672 in words is "two hundred seventy-six thousand, six hundred seventy-two".