84616272 has 240 divisors, whose sum is σ = 281380800. Its totient is φ = 24261120.

The previous prime is 84616223. The next prime is 84616283. The reversal of 84616272 is 27261648.

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 47 ways as a sum of consecutive naturals, for example, 1387122 + ... + 1387182.

It is an arithmetic number, because the mean of its divisors is an integer number (1172420).

Almost surely, 2^84616272 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 84616272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140690400).

84616272 is an abundant number, since it is smaller than the sum of its proper divisors (196764528).

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

84616272 is a wasteful number, since it uses less digits than its factorization.

84616272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 84616272 is about 9198.7103443907. The cubic root of 84616272 is about 439.0203272361.

The spelling of 84616272 in words is "eighty-four million, six hundred sixteen thousand, two hundred seventy-two".