66729024 has 42 divisors (see below), whose sum is σ = 191268350. Its totient is φ = 22242816.

The previous prime is 66728999. The next prime is 66729043. The reversal of 66729024 is 42092766.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 63489024 + 3240000 = 7968^2 + 1800^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66729024.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57349 + ... + 58500.

Almost surely, 2^66729024 is an apocalyptic number.

66729024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66729024 is an abundant number, since it is smaller than the sum of its proper divisors (124539326).

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

66729024 is a wasteful number, since it uses less digits than its factorization.

66729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115867 (or 115854 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66729024 is about 8168.7835079649. The cubic root of 66729024 is about 405.6065169407.

The spelling of 66729024 in words is "sixty-six million, seven hundred twenty-nine thousand, twenty-four".