276075072 has 336 divisors, whose sum is σ = 1020714240. Its totient is φ = 69341184.

The previous prime is 276075067. The next prime is 276075089. The reversal of 276075072 is 270570672.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1205454 + ... + 1205682.

It is an arithmetic number, because the mean of its divisors is an integer number (3037840).

Almost surely, 2^276075072 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 276075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510357120).

276075072 is an abundant number, since it is smaller than the sum of its proper divisors (744639168).

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

276075072 is a wasteful number, since it uses less digits than its factorization.

276075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 276075072 is about 16615.5069739084. The cubic root of 276075072 is about 651.1420333272.

The spelling of 276075072 in words is "two hundred seventy-six million, seventy-five thousand, seventy-two".