10072175633020 has 12 divisors (see below), whose sum is σ = 21151568829384. Its totient is φ = 4028870253200.

The previous prime is 10072175632933. The next prime is 10072175633029. The reversal of 10072175633020 is 2033657127001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072175633029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251804390806 + ... + 251804390845.

It is an arithmetic number, because the mean of its divisors is an integer number (1762630735782).

Almost surely, 2^{10072175633020} is an apocalyptic number.

10072175633020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072175633020 is an abundant number, since it is smaller than the sum of its proper divisors (11079393196364).

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

10072175633020 is a wasteful number, since it uses less digits than its factorization.

10072175633020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503608781660 (or 503608781658 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 10072175633020 in words is "ten trillion, seventy-two billion, one hundred seventy-five million, six hundred thirty-three thousand, twenty".