73630224 has 60 divisors (see below), whose sum is σ = 206840556. Its totient is φ = 24450816.

The previous prime is 73630223. The next prime is 73630237. The reversal of 73630224 is 42203637.

73630224 is a `hidden beast` number, since 7 + 3 + 630 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21790224 + 51840000 = 4668^2 + 7200^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73630223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44842 + ... + 46454.

Almost surely, 2^73630224 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 73630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420278).

73630224 is an abundant number, since it is smaller than the sum of its proper divisors (133210332).

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

73630224 is a wasteful number, since it uses less digits than its factorization.

73630224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 73630224 is about 8580.8055565897. The cubic root of 73630224 is about 419.1331782171.

The spelling of 73630224 in words is "seventy-three million, six hundred thirty thousand, two hundred twenty-four".