83466072 has 64 divisors (see below), whose sum is σ = 232617600. Its totient is φ = 27730080.

The previous prime is 83466049. The next prime is 83466091. The reversal of 83466072 is 27066438.

83466072 is a `hidden beast` number, since 8 + 3 + 46 + 607 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105663 + ... + 106449.

It is an arithmetic number, because the mean of its divisors is an integer number (3634650).

Almost surely, 2^83466072 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 83466072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116308800).

83466072 is an abundant number, since it is smaller than the sum of its proper divisors (149151528).

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

83466072 is a wasteful number, since it uses less digits than its factorization.

83466072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83466072 is about 9135.9767950669. The cubic root of 83466072 is about 437.0220251524.

The spelling of 83466072 in words is "eighty-three million, four hundred sixty-six thousand, seventy-two".