212272704 has 336 divisors, whose sum is σ = 764438400. Its totient is φ = 57480192.

The previous prime is 212272691. The next prime is 212272733. The reversal of 212272704 is 407272212.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1947402 + ... + 1947510.

Almost surely, 2^212272704 is an apocalyptic number.

212272704 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 212272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382219200).

212272704 is an abundant number, since it is smaller than the sum of its proper divisors (552165696).

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

212272704 is a wasteful number, since it uses less digits than its factorization.

212272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 212272704 is about 14569.5814627600. The cubic root of 212272704 is about 596.5287561724.

The spelling of 212272704 in words is "two hundred twelve million, two hundred seventy-two thousand, seven hundred four".