73758240 has 288 divisors, whose sum is σ = 280215936. Its totient is φ = 17571840.

The previous prime is 73758239. The next prime is 73758241. The reversal of 73758240 is 4285737.

73758240 is a `hidden beast` number, since 7 + 37 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (73758239) and next prime (73758241).

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 junction number, because it is equal to n+sod(n) for n = 73758195 and 73758204.

It is not an unprimeable number, because it can be changed into a prime (73758241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 562975 + ... + 563105.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 2^73758240 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 73758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968).

73758240 is an abundant number, since it is smaller than the sum of its proper divisors (206457696).

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

73758240 is a wasteful number, since it uses less digits than its factorization.

73758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

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

The square root of 73758240 is about 8588.2617566071. The cubic root of 73758240 is about 419.3759439553.

The spelling of 73758240 in words is "seventy-three million, seven hundred fifty-eight thousand, two hundred forty".