75263760 has 480 divisors, whose sum is σ = 321729408. Its totient is φ = 15482880.

The previous prime is 75263723. The next prime is 75263761. The reversal of 75263760 is 6736257.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (75263761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1750299 + ... + 1750341.

Almost surely, 2^75263760 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 75263760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

75263760 is an abundant number, since it is smaller than the sum of its proper divisors (246465648).

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

75263760 is a wasteful number, since it uses less digits than its factorization.

75263760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 75263760 is about 8675.4688634102. The cubic root of 75263760 is about 422.2101182536.

The spelling of 75263760 in words is "seventy-five million, two hundred sixty-three thousand, seven hundred sixty".