212949072 has 240 divisors, whose sum is σ = 740488320. Its totient is φ = 55931904.

The previous prime is 212949041. The next prime is 212949083. The reversal of 212949072 is 270949212.

It is a super-2 number, since 2×212949072² = 90694614531322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4952283 + ... + 4952325.

It is an arithmetic number, because the mean of its divisors is an integer number (3085368).

Almost surely, 2^212949072 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 212949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370244160).

212949072 is an abundant number, since it is smaller than the sum of its proper divisors (527539248).

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

212949072 is a wasteful number, since it uses less digits than its factorization.

212949072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 212949072 is about 14592.7746504906. The cubic root of 212949072 is about 597.1616608909.

The spelling of 212949072 in words is "two hundred twelve million, nine hundred forty-nine thousand, seventy-two".