73738240 has 96 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 27869184.

The previous prime is 73738237. The next prime is 73738261. The reversal of 73738240 is 4283737.

It is a junction number, because it is equal to n+sod(n) for n = 73738196 and 73738205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194371 + ... + 194749.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^73738240 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 73738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

73738240 is an abundant number, since it is smaller than the sum of its proper divisors (112993760).

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

73738240 is a wasteful number, since it uses less digits than its factorization.

73738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 73738240 is about 8587.0972976903. The cubic root of 73738240 is about 419.3380350740.

The spelling of 73738240 in words is "seventy-three million, seven hundred thirty-eight thousand, two hundred forty".