166707072 has 160 divisors (see below), whose sum is σ = 567238320. Its totient is φ = 47609856.

The previous prime is 166707071. The next prime is 166707103. The reversal of 166707072 is 270707661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166707071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71428 + ... + 73724.

Almost surely, 2^166707072 is an apocalyptic number.

166707072 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 166707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283619160).

166707072 is an abundant number, since it is smaller than the sum of its proper divisors (400531248).

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

166707072 is an equidigital number, since it uses as much as digits as its factorization.

166707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 166707072 is about 12911.5092843556. The cubic root of 166707072 is about 550.3656763795.

The spelling of 166707072 in words is "one hundred sixty-six million, seven hundred seven thousand, seventy-two".