214077072 has 240 divisors, whose sum is σ = 664957440. Its totient is φ = 59136000.

The previous prime is 214077053. The next prime is 214077109. The reversal of 214077072 is 270770412.

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, 5221372 + ... + 5221412.

It is an arithmetic number, because the mean of its divisors is an integer number (2770656).

Almost surely, 2^214077072 is an apocalyptic number.

214077072 is a gapful number since it is divisible by the number (22) 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 214077072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

214077072 is an abundant number, since it is smaller than the sum of its proper divisors (450880368).

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

214077072 is a wasteful number, since it uses less digits than its factorization.

214077072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 214077072 is about 14631.3728679164. The cubic root of 214077072 is about 598.2142012557.

The spelling of 214077072 in words is "two hundred fourteen million, seventy-seven thousand, seventy-two".