84372288 has 224 divisors, whose sum is σ = 300410880. Its totient is φ = 20183040.

The previous prime is 84372287. The next prime is 84372289. The reversal of 84372288 is 88227348.

It is an interprime number because it is at equal distance from previous prime (84372287) and next prime (84372289).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84372283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191973 + ... + 192411.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2^84372288 is an apocalyptic number.

84372288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

84372288 is an abundant number, since it is smaller than the sum of its proper divisors (216038592).

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

84372288 is a wasteful number, since it uses less digits than its factorization.

84372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 84372288 is about 9185.4389116688. The cubic root of 84372288 is about 438.5979614602.

The spelling of 84372288 in words is "eighty-four million, three hundred seventy-two thousand, two hundred eighty-eight".