172251072 has 252 divisors, whose sum is σ = 609813360. Its totient is φ = 46190592.

The previous prime is 172251067. The next prime is 172251073. The reversal of 172251072 is 270152271.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172251073) by changing a digit.

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, 479629 + ... + 479987.

Almost surely, 2^172251072 is an apocalyptic number.

172251072 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 172251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304906680).

172251072 is an abundant number, since it is smaller than the sum of its proper divisors (437562288).

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

172251072 is a wasteful number, since it uses less digits than its factorization.

172251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 172251072 is about 13124.4455882906. The cubic root of 172251072 is about 556.4002431845.

The spelling of 172251072 in words is "one hundred seventy-two million, two hundred fifty-one thousand, seventy-two".