170880072 has 144 divisors (see below), whose sum is σ = 498622320. Its totient is φ = 48755520.

The previous prime is 170880049. The next prime is 170880119. The reversal of 170880072 is 270088071.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048263 + ... + 1048425.

It is an arithmetic number, because the mean of its divisors is an integer number (3462655).

Almost surely, 2^170880072 is an apocalyptic number.

170880072 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 170880072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249311160).

170880072 is an abundant number, since it is smaller than the sum of its proper divisors (327742248).

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

170880072 is a wasteful number, since it uses less digits than its factorization.

170880072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 170880072 is about 13072.1104646495. The cubic root of 170880072 is about 554.9201216101.

The spelling of 170880072 in words is "one hundred seventy million, eight hundred eighty thousand, seventy-two".