172011312 has 180 divisors, whose sum is σ = 547444872. Its totient is φ = 49996800.

The previous prime is 172011283. The next prime is 172011331. The reversal of 172011312 is 213110271.

It is a happy number.

It is a super-2 number, since 2×172011312² = 59175782911922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522168 + ... + 1522280.

Almost surely, 2^172011312 is an apocalyptic number.

172011312 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 172011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273722436).

172011312 is an abundant number, since it is smaller than the sum of its proper divisors (375433560).

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

172011312 is a wasteful number, since it uses less digits than its factorization.

172011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 172011312 is about 13115.3083074703. The cubic root of 172011312 is about 556.1419681291.

Adding to 172011312 its reverse (213110271), we get a palindrome (385121583).

The spelling of 172011312 in words is "one hundred seventy-two million, eleven thousand, three hundred twelve".