84350772 has 72 divisors (see below), whose sum is σ = 237051360. Its totient is φ = 25072320.

The previous prime is 84350767. The next prime is 84350801. The reversal of 84350772 is 27705348.

84350772 is a `hidden beast` number, since 84 + 3 + 507 + 72 = 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 23 ways as a sum of consecutive naturals, for example, 18979 + ... + 22997.

It is an arithmetic number, because the mean of its divisors is an integer number (3292380).

Almost surely, 2^84350772 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 84350772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118525680).

84350772 is an abundant number, since it is smaller than the sum of its proper divisors (152700588).

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

84350772 is a wasteful number, since it uses less digits than its factorization.

84350772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 84350772 is about 9184.2676354732. The cubic root of 84350772 is about 438.5606756157.

It can be divided in two parts, 843 and 50772, that added together give a palindrome (51615).

The spelling of 84350772 in words is "eighty-four million, three hundred fifty thousand, seven hundred seventy-two".