73741824 has 120 divisors (see below), whose sum is σ = 229381152. Its totient is φ = 22671360.

The previous prime is 73741823. The next prime is 73741849. The reversal of 73741824 is 42814737.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73741823) 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, 59289 + ... + 60519.

Almost surely, 2^73741824 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 73741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114690576).

73741824 is an abundant number, since it is smaller than the sum of its proper divisors (155639328).

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

73741824 is a wasteful number, since it uses less digits than its factorization.

73741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1249 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 73741824 is about 8587.3059803410. The cubic root of 73741824 is about 419.3448288496.

The spelling of 73741824 in words is "seventy-three million, seven hundred forty-one thousand, eight hundred twenty-four".