27172023100 has 72 divisors (see below), whose sum is σ = 62500062240. Its totient is φ = 10218270720.

The previous prime is 27172023089. The next prime is 27172023103. The reversal of 27172023100 is 132027172.

It is a super-2 number, since 2×27172023100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27172023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635636 + ... + 1652164.

It is an arithmetic number, because the mean of its divisors is an integer number (868056420).

Almost surely, 2^27172023100 is an apocalyptic number.

27172023100 is a gapful number since it is divisible by the number (20) 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 27172023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31250031120).

27172023100 is an abundant number, since it is smaller than the sum of its proper divisors (35328039140).

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

27172023100 is a wasteful number, since it uses less digits than its factorization.

27172023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17527 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The spelling of 27172023100 in words is "twenty-seven billion, one hundred seventy-two million, twenty-three thousand, one hundred".