73375680 has 224 divisors, whose sum is σ = 272125440. Its totient is φ = 16404480.

The previous prime is 73375657. The next prime is 73375711. The reversal of 73375680 is 8657337.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409831 + ... + 410009.

Almost surely, 2^73375680 is an apocalyptic number.

73375680 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 73375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

73375680 is an abundant number, since it is smaller than the sum of its proper divisors (198749760).

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

73375680 is a wasteful number, since it uses less digits than its factorization.

73375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 73375680 is about 8565.9605415855. The cubic root of 73375680 is about 418.6496312504.

The spelling of 73375680 in words is "seventy-three million, three hundred seventy-five thousand, six hundred eighty".