212757072 has 40 divisors (see below), whose sum is σ = 599589600. Its totient is φ = 64471680.

The previous prime is 212757071. The next prime is 212757089. The reversal of 212757072 is 270757212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212757071) 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 7 ways as a sum of consecutive naturals, for example, 200947 + ... + 202002.

It is an arithmetic number, because the mean of its divisors is an integer number (14989740).

Almost surely, 2^212757072 is an apocalyptic number.

212757072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212757072 is an abundant number, since it is smaller than the sum of its proper divisors (386832528).

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

212757072 is a wasteful number, since it uses less digits than its factorization.

212757072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402971 (or 402965 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 212757072 is about 14586.1945688380. The cubic root of 212757072 is about 596.9821351578.

The spelling of 212757072 in words is "two hundred twelve million, seven hundred fifty-seven thousand, seventy-two".