75369960 has 128 divisors (see below), whose sum is σ = 264528000. Its totient is φ = 19035648.

The previous prime is 75369949. The next prime is 75369961. The reversal of 75369960 is 6996357.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (75369961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18684 + ... + 22356.

It is an arithmetic number, because the mean of its divisors is an integer number (2066625).

Almost surely, 2^75369960 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 75369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132264000).

75369960 is an abundant number, since it is smaller than the sum of its proper divisors (189158040).

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

75369960 is a wasteful number, since it uses less digits than its factorization.

75369960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 75369960 is about 8681.5874124494. The cubic root of 75369960 is about 422.4086097160.

The spelling of 75369960 in words is "seventy-five million, three hundred sixty-nine thousand, nine hundred sixty".