73754820 has 96 divisors (see below), whose sum is σ = 232727040. Its totient is φ = 19388160.

The previous prime is 73754819. The next prime is 73754831. The reversal of 73754820 is 2845737.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38485 + ... + 40355.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^73754820 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 73754820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

73754820 is an abundant number, since it is smaller than the sum of its proper divisors (158972220).

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

73754820 is a wasteful number, since it uses less digits than its factorization.

73754820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

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

The square root of 73754820 is about 8588.0626453234. The cubic root of 73754820 is about 419.3694620224.

The spelling of 73754820 in words is "seventy-three million, seven hundred fifty-four thousand, eight hundred twenty".