75234720 has 96 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 18237440.

The previous prime is 75234697. The next prime is 75234721. The reversal of 75234720 is 2743257.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75234721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^75234720 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 75234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

75234720 is an abundant number, since it is smaller than the sum of its proper divisors (183317280).

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

75234720 is a wasteful number, since it uses less digits than its factorization.

75234720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 75234720 is about 8673.7950171767. The cubic root of 75234720 is about 422.1558089857.

Adding to 75234720 its reverse (2743257), we get a palindrome (77977977).

The spelling of 75234720 in words is "seventy-five million, two hundred thirty-four thousand, seven hundred twenty".