75233280 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 19169280.

The previous prime is 75233269. The next prime is 75233303. The reversal of 75233280 is 8233257.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952281 + ... + 952359.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^75233280 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 75233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

75233280 is an abundant number, since it is smaller than the sum of its proper divisors (176363520).

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

75233280 is a wasteful number, since it uses less digits than its factorization.

75233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75233280 is about 8673.7120081312. The cubic root of 75233280 is about 422.1531156005.

The spelling of 75233280 in words is "seventy-five million, two hundred thirty-three thousand, two hundred eighty".