173115072 has 168 divisors, whose sum is σ = 544565840. Its totient is φ = 52254720.

The previous prime is 173115049. The next prime is 173115073. The reversal of 173115072 is 270511371.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (173115073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456579 + ... + 456957.

Almost surely, 2^173115072 is an apocalyptic number.

173115072 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 173115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272282920).

173115072 is an abundant number, since it is smaller than the sum of its proper divisors (371450768).

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

173115072 is a wasteful number, since it uses less digits than its factorization.

173115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 173115072 is about 13157.3200918728. The cubic root of 173115072 is about 557.3289810384.

The spelling of 173115072 in words is "one hundred seventy-three million, one hundred fifteen thousand, seventy-two".