84072000 has 224 divisors, whose sum is σ = 289096704. Its totient is φ = 21504000.

The previous prime is 84071989. The next prime is 84072007. The reversal of 84072000 is 27048.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84072007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743944 + ... + 744056.

Almost surely, 2^84072000 is an apocalyptic number.

84072000 is a gapful number since it is divisible by the number (80) 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 84072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548352).

84072000 is an abundant number, since it is smaller than the sum of its proper divisors (205024704).

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

84072000 is a wasteful number, since it uses less digits than its factorization.

84072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 84072000 is about 9169.0784705989. The cubic root of 84072000 is about 438.0770073729.

Adding to 84072000 its reverse (27048), we get a palindrome (84099048).

The spelling of 84072000 in words is "eighty-four million, seventy-two thousand".