75054924 has 84 divisors (see below), whose sum is σ = 225123024. Its totient is φ = 21438432.

The previous prime is 75054923. The next prime is 75054953. The reversal of 75054924 is 42945057.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-4 number, since 4×75054924⁴ (a number of 33 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (75054923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18574 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (2680036).

Almost surely, 2^75054924 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 75054924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112561512).

75054924 is an abundant number, since it is smaller than the sum of its proper divisors (150068100).

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

75054924 is a wasteful number, since it uses less digits than its factorization.

75054924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75054924 is about 8663.4244961216. The cubic root of 75054924 is about 421.8192513001.

The spelling of 75054924 in words is "seventy-five million, fifty-four thousand, nine hundred twenty-four".