73024875 has 128 divisors (see below), whose sum is σ = 168929280. Its totient is φ = 30240000.

The previous prime is 73024859. The next prime is 73024883. The reversal of 73024875 is 57842037.

It is not a de Polignac number, because 73024875 - 2⁴ = 73024859 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259735 + ... + 260015.

It is an arithmetic number, because the mean of its divisors is an integer number (1319760).

Almost surely, 2^73024875 is an apocalyptic number.

73024875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73024875 is an abundant number, since it is smaller than the sum of its proper divisors (95904405).

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

73024875 is a wasteful number, since it uses less digits than its factorization.

73024875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

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

The square root of 73024875 is about 8545.4593205983. The cubic root of 73024875 is about 417.9813850520.

The spelling of 73024875 in words is "seventy-three million, twenty-four thousand, eight hundred seventy-five".