66375072 has 96 divisors (see below), whose sum is σ = 205027200. Its totient is φ = 20818944.

The previous prime is 66375019. The next prime is 66375073. The reversal of 66375072 is 27057366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (66375073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12429 + ... + 16947.

It is an arithmetic number, because the mean of its divisors is an integer number (2135700).

Almost surely, 2^66375072 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 66375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102513600).

66375072 is an abundant number, since it is smaller than the sum of its proper divisors (138652128).

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

66375072 is a wasteful number, since it uses less digits than its factorization.

66375072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 66375072 is about 8147.0897871571. The cubic root of 66375072 is about 404.8880897930. Note that the first 3 decimals are identical.

The spelling of 66375072 in words is "sixty-six million, three hundred seventy-five thousand, seventy-two".