172849152 has 96 divisors (see below), whose sum is σ = 526780800. Its totient is φ = 49373184.

The previous prime is 172849147. The next prime is 172849169. The reversal of 172849152 is 251948271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 172849152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40999 + ... + 45017.

It is an arithmetic number, because the mean of its divisors is an integer number (5487300).

Almost surely, 2^172849152 is an apocalyptic number.

172849152 is a gapful number since it is divisible by the number (12) 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 172849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263390400).

172849152 is an abundant number, since it is smaller than the sum of its proper divisors (353931648).

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

172849152 is an equidigital number, since it uses as much as digits as its factorization.

172849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4031 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 172849152 is about 13147.2108068594. The cubic root of 172849152 is about 557.0434659933.

It can be divided in two parts, 1728 and 49152, that multiplied together give a 4-th power (84934656 = 96⁴).

The spelling of 172849152 in words is "one hundred seventy-two million, eight hundred forty-nine thousand, one hundred fifty-two".