89784072 has 192 divisors, whose sum is σ = 307800000. Its totient is φ = 24095232.

The previous prime is 89784049. The next prime is 89784109. The reversal of 89784072 is 27048798.

It is a super-2 number, since 2×89784072² = 16122359169802368, which contains 22 as substring.

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, 179679 + ... + 180177.

It is an arithmetic number, because the mean of its divisors is an integer number (1603125).

Almost surely, 2^89784072 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 89784072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900000).

89784072 is an abundant number, since it is smaller than the sum of its proper divisors (218015928).

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

89784072 is a wasteful number, since it uses less digits than its factorization.

89784072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 89784072 is about 9475.4457414942. The cubic root of 89784072 is about 447.7817947787.

The spelling of 89784072 in words is "eighty-nine million, seven hundred eighty-four thousand, seventy-two".