66724352 has 50 divisors (see below), whose sum is σ = 140724903. Its totient is φ = 31606272.

The previous prime is 66724351. The next prime is 66724363. The reversal of 66724352 is 25342766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 33362176 + 33362176 = 5776^2 + 5776^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5776.

It is a super-3 number, since 3×66724352³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (60480) is a multiple of the sum of its prime divisors (21).

It is not an unprimeable number, because it can be changed into a prime (66724351) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 3511799 + ... + 3511817.

Almost surely, 2^66724352 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 66724352

66724352 is an abundant number, since it is smaller than the sum of its proper divisors (74000551).

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

66724352 is an frugal number, since it uses more digits than its factorization.

66724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 66724352 is about 8168.4975362670. The cubic root of 66724352 is about 405.5970506057.

It can be divided in two parts, 66724 and 352, that added together give a palindrome (67076).

The spelling of 66724352 in words is "sixty-six million, seven hundred twenty-four thousand, three hundred fifty-two".