32072128830 has 192 divisors, whose sum is σ = 97693060608. Its totient is φ = 7148908800.

The previous prime is 32072128813. The next prime is 32072128861. The reversal of 32072128830 is 3882127023.

It is a happy number.

32072128830 is a `hidden beast` number, since 320 + 7 + 21 + 288 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4259449 + ... + 4266971.

It is an arithmetic number, because the mean of its divisors is an integer number (508818024).

Almost surely, 2^32072128830 is an apocalyptic number.

32072128830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32072128830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48846530304).

32072128830 is an abundant number, since it is smaller than the sum of its proper divisors (65620931778).

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

32072128830 is a wasteful number, since it uses less digits than its factorization.

32072128830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7708 counting only the distinct ones).

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

The spelling of 32072128830 in words is "thirty-two billion, seventy-two million, one hundred twenty-eight thousand, eight hundred thirty".