267082272 has 126 divisors (see below), whose sum is σ = 795803463. Its totient is φ = 88195392.

The previous prime is 267082213. The next prime is 267082313. The reversal of 267082272 is 272280762.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 133541136 + 133541136 = 11556^2 + 11556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11556.

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2496043 + ... + 2496149.

Almost surely, 2^267082272 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 267082272

267082272 is an abundant number, since it is smaller than the sum of its proper divisors (528721191).

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

267082272 is an frugal number, since it uses more digits than its factorization.

267082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 267082272 is about 16342.6519267835. The cubic root of 267082272 is about 643.9938016198.

The spelling of 267082272 in words is "two hundred sixty-seven million, eighty-two thousand, two hundred seventy-two".