66435072 has 96 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 20111360.

The previous prime is 66435071. The next prime is 66435137. The reversal of 66435072 is 27053466.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66435071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67093 + ... + 68075.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 2^66435072 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 66435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

66435072 is an abundant number, since it is smaller than the sum of its proper divisors (126979968).

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

66435072 is a wasteful number, since it uses less digits than its factorization.

66435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 66435072 is about 8150.7712518510. The cubic root of 66435072 is about 405.0100530960.

It can be divided in two parts, 6 and 6435072, that added together give a triangular number (6435078 = T₃₅₈₇).

The spelling of 66435072 in words is "sixty-six million, four hundred thirty-five thousand, seventy-two".