78264272 has 20 divisors (see below), whose sum is σ = 156866820. Its totient is φ = 37782528.

The previous prime is 78264271. The next prime is 78264299. The reversal of 78264272 is 27246287.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60590656 + 17673616 = 7784^2 + 4204^2 .

It is a super-2 number, since 2×78264272² = 12250592543379968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78264271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83873 + ... + 84800.

It is an arithmetic number, because the mean of its divisors is an integer number (7843341).

Almost surely, 2^78264272 is an apocalyptic number.

It is an amenable number.

78264272 is an abundant number, since it is smaller than the sum of its proper divisors (78602548).

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

78264272 is a wasteful number, since it uses less digits than its factorization.

78264272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168710 (or 168704 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 78264272 is about 8846.7096708324. The cubic root of 78264272 is about 427.7478644225.

The spelling of 78264272 in words is "seventy-eight million, two hundred sixty-four thousand, two hundred seventy-two".