65667072 has 72 divisors (see below), whose sum is σ = 176160096. Its totient is φ = 21757952.

The previous prime is 65667067. The next prime is 65667079. The reversal of 65667072 is 27076656.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 65667072.

It is not an unprimeable number, because it can be changed into a prime (65667079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393133 + ... + 393299.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^65667072 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 65667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080048).

65667072 is an abundant number, since it is smaller than the sum of its proper divisors (110493024).

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

65667072 is an frugal number, since it uses more digits than its factorization.

65667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 65667072 is about 8103.5221971683. The cubic root of 65667072 is about 403.4433401337.

The spelling of 65667072 in words is "sixty-five million, six hundred sixty-seven thousand, seventy-two".