161667072 has 216 divisors, whose sum is σ = 546191100. Its totient is φ = 45932544.

The previous prime is 161667061. The next prime is 161667073. The reversal of 161667072 is 270766161.

It is a super-2 number, since 2×161667072² = 52272484338106368, which contains 22 as substring.

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 (161667073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 903079 + ... + 903257.

Almost surely, 2^161667072 is an apocalyptic number.

161667072 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 161667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273095550).

161667072 is an abundant number, since it is smaller than the sum of its proper divisors (384524028).

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

161667072 is a wasteful number, since it uses less digits than its factorization.

161667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 161667072 is about 12714.8366879013. The cubic root of 161667072 is about 544.7624832659.

The spelling of 161667072 in words is "one hundred sixty-one million, six hundred sixty-seven thousand, seventy-two".