66072672 has 144 divisors (see below), whose sum is σ = 202260240. Its totient is φ = 21192192.

The previous prime is 66072661. The next prime is 66072697. The reversal of 66072672 is 27627066.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225358 + ... + 225650.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 2^66072672 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 66072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101130120).

66072672 is an abundant number, since it is smaller than the sum of its proper divisors (136187568).

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

66072672 is a wasteful number, since it uses less digits than its factorization.

66072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66072672 is about 8128.5098265303. The cubic root of 66072672 is about 404.2722734104.

The spelling of 66072672 in words is "sixty-six million, seventy-two thousand, six hundred seventy-two".