273172271372 has 192 divisors, whose sum is σ = 648427659264. Its totient is φ = 97244098560.

The previous prime is 273172271341. The next prime is 273172271399.

273172271372 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×273172271372² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175898948 + ... + 175900500.

It is an arithmetic number, because the mean of its divisors is an integer number (3377227392).

Almost surely, 2^273172271372 is an apocalyptic number.

273172271372 is a gapful number since it is divisible by the number (22) 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 273172271372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324213829632).

273172271372 is an abundant number, since it is smaller than the sum of its proper divisors (375255387892).

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

273172271372 is a wasteful number, since it uses less digits than its factorization.

273172271372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its digits is 345744, while the sum is 44.

The spelling of 273172271372 in words is "two hundred seventy-three billion, one hundred seventy-two million, two hundred seventy-one thousand, three hundred seventy-two".