213276672 has 384 divisors, whose sum is σ = 786240000. Its totient is φ = 55738368.

The previous prime is 213276671. The next prime is 213276673. The reversal of 213276672 is 276672312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213276671) and next prime (213276673).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213276671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354354 + ... + 7354382.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 2^213276672 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 213276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120000).

213276672 is an abundant number, since it is smaller than the sum of its proper divisors (572963328).

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

213276672 is a wasteful number, since it uses less digits than its factorization.

213276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 213276672 is about 14603.9950698430. The cubic root of 213276672 is about 597.4677276968.

The spelling of 213276672 in words is "two hundred thirteen million, two hundred seventy-six thousand, six hundred seventy-two".