73752840 has 288 divisors, whose sum is σ = 288901080. Its totient is φ = 16257024.

The previous prime is 73752793. The next prime is 73752857. The reversal of 73752840 is 4825737.

73752840 is a `hidden beast` number, since 7 + 375 + 284 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52794756 + 20958084 = 7266^2 + 4578^2 .

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 = 73752795 and 73752804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652624 + ... + 652736.

Almost surely, 2^73752840 is an apocalyptic number.

73752840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73752840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144450540).

73752840 is an abundant number, since it is smaller than the sum of its proper divisors (215148240).

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

73752840 is a wasteful number, since it uses less digits than its factorization.

73752840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

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

The square root of 73752840 is about 8587.9473682598. The cubic root of 73752840 is about 419.3657092328.

The spelling of 73752840 in words is "seventy-three million, seven hundred fifty-two thousand, eight hundred forty".