72335214 has 64 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 19997280.

The previous prime is 72335201. The next prime is 72335233. The reversal of 72335214 is 41253327.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8632 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^72335214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72335214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

72335214 is an abundant number, since it is smaller than the sum of its proper divisors (117330066).

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

72335214 is a wasteful number, since it uses less digits than its factorization.

72335214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6216 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72335214 is about 8505.0111111039. The cubic root of 72335214 is about 416.6613885909.

It can be divided in two parts, 723 and 35214, that added together give a cube (35937 = 33³).

The spelling of 72335214 in words is "seventy-two million, three hundred thirty-five thousand, two hundred fourteen".