83446272 has 240 divisors, whose sum is σ = 297897600. Its totient is φ = 21897216.

The previous prime is 83446267. The next prime is 83446283. The reversal of 83446272 is 27264438.

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.

Its product of digits (64512) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419229 + ... + 419427.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^83446272 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 83446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

83446272 is an abundant number, since it is smaller than the sum of its proper divisors (214451328).

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

83446272 is a wasteful number, since it uses less digits than its factorization.

83446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 83446272 is about 9134.8931028228. The cubic root of 83446272 is about 436.9874653199.

The spelling of 83446272 in words is "eighty-three million, four hundred forty-six thousand, two hundred seventy-two".