75144960 has 216 divisors, whose sum is σ = 284107824. Its totient is φ = 18186240.

The previous prime is 75144941. The next prime is 75144977. The reversal of 75144960 is 6944157.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126424 + ... + 127016.

It is an arithmetic number, because the mean of its divisors is an integer number (1315314).

Almost surely, 2^75144960 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 75144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053912).

75144960 is an abundant number, since it is smaller than the sum of its proper divisors (208962864).

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

75144960 is a wasteful number, since it uses less digits than its factorization.

75144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75144960 is about 8668.6192672190. The cubic root of 75144960 is about 421.9878555687.

The spelling of 75144960 in words is "seventy-five million, one hundred forty-four thousand, nine hundred sixty".