32282091072 has 336 divisors, whose sum is σ = 118052892672. Its totient is φ = 8189475840.

The previous prime is 32282091031. The next prime is 32282091073. The reversal of 32282091072 is 27019028223.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32282091073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898673 + ... + 1915599.

Almost surely, 2^32282091072 is an apocalyptic number.

32282091072 is a gapful number since it is divisible by the number (32) 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 32282091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59026446336).

32282091072 is an abundant number, since it is smaller than the sum of its proper divisors (85770801600).

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

32282091072 is a wasteful number, since it uses less digits than its factorization.

32282091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17006 (or 16993 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 32282091072 in words is "thirty-two billion, two hundred eighty-two million, ninety-one thousand, seventy-two".