84262752 has 144 divisors (see below), whose sum is σ = 279770400. Its totient is φ = 24046848.

The previous prime is 84262747. The next prime is 84262753. The reversal of 84262752 is 25726248.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84262752² = 14200422749227008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84262753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98358 + ... + 99210.

It is an arithmetic number, because the mean of its divisors is an integer number (1942850).

Almost surely, 2^84262752 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 84262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139885200).

84262752 is an abundant number, since it is smaller than the sum of its proper divisors (195507648).

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

84262752 is a wasteful number, since it uses less digits than its factorization.

84262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 865 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 84262752 is about 9179.4744947628. The cubic root of 84262752 is about 438.4080765557.

The spelling of 84262752 in words is "eighty-four million, two hundred sixty-two thousand, seven hundred fifty-two".