2752150727172 has 288 divisors, whose sum is σ = 8277321572352. Its totient is φ = 696256704000.

The previous prime is 2752150727099. The next prime is 2752150727203. The reversal of 2752150727172 is 2717270512572.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 267948397 + ... + 267958667.

It is an arithmetic number, because the mean of its divisors is an integer number (28740699904).

Almost surely, 2^{2752150727172} is an apocalyptic number.

2752150727172 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 2752150727172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138660786176).

2752150727172 is an abundant number, since it is smaller than the sum of its proper divisors (5525170845180).

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

2752150727172 is a wasteful number, since it uses less digits than its factorization.

2752150727172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 960400, while the sum is 48.

The spelling of 2752150727172 in words is "two trillion, seven hundred fifty-two billion, one hundred fifty million, seven hundred twenty-seven thousand, one hundred seventy-two".