276456072 has 64 divisors (see below), whose sum is σ = 723168000. Its totient is φ = 87954944.

The previous prime is 276456053. The next prime is 276456079. The reversal of 276456072 is 270654672.

It is a happy number.

276456072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 276456072.

It is not an unprimeable number, because it can be changed into a prime (276456079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59713 + ... + 64175.

It is an arithmetic number, because the mean of its divisors is an integer number (11299500).

Almost surely, 2^276456072 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 276456072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

276456072 is an abundant number, since it is smaller than the sum of its proper divisors (446711928).

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

276456072 is a wasteful number, since it uses less digits than its factorization.

276456072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 276456072 is about 16626.9682143198. The cubic root of 276456072 is about 651.4414338686.

The spelling of 276456072 in words is "two hundred seventy-six million, four hundred fifty-six thousand, seventy-two".