73402880 has 80 divisors (see below), whose sum is σ = 179646984. Its totient is φ = 28753920.

The previous prime is 73402873. The next prime is 73402937. The reversal of 73402880 is 8820437.

It can be written as a sum of positive squares in 4 ways, for example, as 62220544 + 11182336 = 7888^2 + 3344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135410 + ... + 135950.

Almost surely, 2^73402880 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 73402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89823492).

73402880 is an abundant number, since it is smaller than the sum of its proper divisors (106244104).

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

73402880 is an equidigital number, since it uses as much as digits as its factorization.

73402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 73402880 is about 8567.5480739824. The cubic root of 73402880 is about 418.7013553058.

The spelling of 73402880 in words is "seventy-three million, four hundred two thousand, eight hundred eighty".