270303072 has 96 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 81738240.

The previous prime is 270303049. The next prime is 270303073.

270303072 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270303073) 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 15 ways as a sum of consecutive naturals, for example, 71797 + ... + 75467.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^270303072 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 270303072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

270303072 is an abundant number, since it is smaller than the sum of its proper divisors (506985888).

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

270303072 is a wasteful number, since it uses less digits than its factorization.

270303072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 270303072 is about 16440.8963259307. The cubic root of 270303072 is about 646.5721494812.

The spelling of 270303072 in words is "two hundred seventy million, three hundred three thousand, seventy-two".