73760832 has 84 divisors (see below), whose sum is σ = 217198956. Its totient is φ = 23915520.

The previous prime is 73760783. The next prime is 73760849. The reversal of 73760832 is 23806737.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 32080896 = 6456^2 + 5664^2 .

It is a super-3 number, since 3×73760832³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 19582 + ... + 23042.

Almost surely, 2^73760832 is an apocalyptic number.

73760832 is a gapful number since it is divisible by the number (72) 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 73760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599478).

73760832 is an abundant number, since it is smaller than the sum of its proper divisors (143438124).

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

73760832 is a wasteful number, since it uses less digits than its factorization.

73760832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73760832 is about 8588.4126589260. The cubic root of 73760832 is about 419.3808564447.

The spelling of 73760832 in words is "seventy-three million, seven hundred sixty thousand, eight hundred thirty-two".