9872075136 has 384 divisors, whose sum is σ = 33944751360. Its totient is φ = 2469519360.

The previous prime is 9872075123. The next prime is 9872075141. The reversal of 9872075136 is 6315702789.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 24866490 + ... + 24866886.

It is an arithmetic number, because the mean of its divisors is an integer number (88397790).

Almost surely, 2^9872075136 is an apocalyptic number.

9872075136 is a gapful number since it is divisible by the number (96) 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 9872075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972375680).

9872075136 is an abundant number, since it is smaller than the sum of its proper divisors (24072676224).

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

9872075136 is a wasteful number, since it uses less digits than its factorization.

9872075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 9872075136 is about 99358.3168939571. The cubic root of 9872075136 is about 2145.2083761466.

The spelling of 9872075136 in words is "nine billion, eight hundred seventy-two million, seventy-five thousand, one hundred thirty-six".