66361072 has 40 divisors (see below), whose sum is σ = 141240960. Its totient is φ = 30064320.

The previous prime is 66361069. The next prime is 66361103. The reversal of 66361072 is 27016366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247 + ... + 11737.

It is an arithmetic number, because the mean of its divisors is an integer number (3531024).

Almost surely, 2^66361072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70620480).

66361072 is an abundant number, since it is smaller than the sum of its proper divisors (74879888).

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

66361072 is a wasteful number, since it uses less digits than its factorization.

66361072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9535 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 66361072 is about 8146.2305393354. The cubic root of 66361072 is about 404.8596211140.

The spelling of 66361072 in words is "sixty-six million, three hundred sixty-one thousand, seventy-two".