66167052 has 72 divisors (see below), whose sum is σ = 181177920. Its totient is φ = 18738720.

The previous prime is 66167047. The next prime is 66167053. The reversal of 66167052 is 25076166.

It is not an unprimeable number, because it can be changed into a prime (66167053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76599 + ... + 77457.

It is an arithmetic number, because the mean of its divisors is an integer number (2516360).

Almost surely, 2^66167052 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 66167052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90588960).

66167052 is an abundant number, since it is smaller than the sum of its proper divisors (115010868).

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

66167052 is a wasteful number, since it uses less digits than its factorization.

66167052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 66167052 is about 8134.3132469803. The cubic root of 66167052 is about 404.4646729966.

The spelling of 66167052 in words is "sixty-six million, one hundred sixty-seven thousand, fifty-two".