272078112 has 72 divisors (see below), whose sum is σ = 730292976. Its totient is φ = 88693888.

The previous prime is 272078033. The next prime is 272078137. The reversal of 272078112 is 211870272.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272078112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211423 + ... + 212705.

It is an arithmetic number, because the mean of its divisors is an integer number (10142958).

Almost surely, 2^272078112 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 272078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365146488).

272078112 is an abundant number, since it is smaller than the sum of its proper divisors (458214864).

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

272078112 is a wasteful number, since it uses less digits than its factorization.

272078112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 272078112 is about 16494.7904503210. The cubic root of 272078112 is about 647.9843770048.

The spelling of 272078112 in words is "two hundred seventy-two million, seventy-eight thousand, one hundred twelve".