32072345877000 has 1024 divisors, whose sum is σ = 125761025295360. Its totient is φ = 6685065216000.

The previous prime is 32072345876941. The next prime is 32072345877041. The reversal of 32072345877000 is 77854327023.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 707398332 + ... + 707443668.

It is an arithmetic number, because the mean of its divisors is an integer number (122813501265).

Almost surely, 2^{32072345877000} is an apocalyptic number.

32072345877000 is a gapful number since it is divisible by the number (30) 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 32072345877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62880512647680).

32072345877000 is an abundant number, since it is smaller than the sum of its proper divisors (93688679418360).

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

32072345877000 is a wasteful number, since it uses less digits than its factorization.

32072345877000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45499 (or 45485 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 32072345877000 in words is "thirty-two trillion, seventy-two billion, three hundred forty-five million, eight hundred seventy-seven thousand".