73864224 has 288 divisors, whose sum is σ = 264176640. Its totient is φ = 19844352.

The previous prime is 73864207. The next prime is 73864237. The reversal of 73864224 is 42246837.

73864224 is a `hidden beast` number, since 7 + 3 + 8 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251907 + ... + 1251965.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^73864224 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 73864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

73864224 is an abundant number, since it is smaller than the sum of its proper divisors (190312416).

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

73864224 is a wasteful number, since it uses less digits than its factorization.

73864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 73864224 is about 8594.4298240197. The cubic root of 73864224 is about 419.5767164076.

It can be divided in two parts, 73864 and 224, that added together give a cube (74088 = 42³).

The spelling of 73864224 in words is "seventy-three million, eight hundred sixty-four thousand, two hundred twenty-four".