213072264 has 48 divisors (see below), whose sum is σ = 581309820. Its totient is φ = 70502400.

The previous prime is 213072259. The next prime is 213072281. The reversal of 213072264 is 462270312.

It can be written as a sum of positive squares in 2 ways, for example, as 197627364 + 15444900 = 14058^2 + 3930^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 937 + ... + 20664.

Almost surely, 2^213072264 is an apocalyptic number.

213072264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213072264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290654910).

213072264 is an abundant number, since it is smaller than the sum of its proper divisors (368237556).

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

213072264 is a wasteful number, since it uses less digits than its factorization.

213072264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750 (or 21743 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 213072264 is about 14596.9950332252. The cubic root of 213072264 is about 597.2767922651.

The spelling of 213072264 in words is "two hundred thirteen million, seventy-two thousand, two hundred sixty-four".