73784520 has 96 divisors (see below), whose sum is σ = 248713920. Its totient is φ = 19673280.

The previous prime is 73784519. The next prime is 73784521. The reversal of 73784520 is 2548737.

It is an interprime number because it is at equal distance from previous prime (73784519) and next prime (73784521).

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

It is not an unprimeable number, because it can be changed into a prime (73784521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5925 + ... + 13515.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^73784520 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 73784520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124356960).

73784520 is an abundant number, since it is smaller than the sum of its proper divisors (174929400).

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

73784520 is a wasteful number, since it uses less digits than its factorization.

73784520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 73784520 is about 8589.7916156331. The cubic root of 73784520 is about 419.4257458085.

The spelling of 73784520 in words is "seventy-three million, seven hundred eighty-four thousand, five hundred twenty".