84271572 has 216 divisors, whose sum is σ = 279351072. Its totient is φ = 21168000.

The previous prime is 84271571. The next prime is 84271633. The reversal of 84271572 is 27517248.

84271572 is a `hidden beast` number, since 84 + 2 + 7 + 1 + 572 = 666.

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 (84271571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 834322 + ... + 834422.

It is an arithmetic number, because the mean of its divisors is an integer number (1293292).

Almost surely, 2^84271572 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 84271572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139675536).

84271572 is an abundant number, since it is smaller than the sum of its proper divisors (195079500).

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

84271572 is a wasteful number, since it uses less digits than its factorization.

84271572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 84271572 is about 9179.9549018500. The cubic root of 84271572 is about 438.4233724575.

It can be divided in two parts, 8427 and 1572, that added together give a palindrome (9999).

The spelling of 84271572 in words is "eighty-four million, two hundred seventy-one thousand, five hundred seventy-two".