75125760 has 176 divisors, whose sum is σ = 247212096. Its totient is φ = 19464192.

The previous prime is 75125717. The next prime is 75125767. The reversal of 75125760 is 6752157.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75125767) 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, 1029084 + ... + 1029156.

Almost surely, 2^75125760 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 75125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606048).

75125760 is an abundant number, since it is smaller than the sum of its proper divisors (172086336).

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

75125760 is a wasteful number, since it uses less digits than its factorization.

75125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 75125760 is about 8667.5117536696. The cubic root of 75125760 is about 421.9519123421.

The spelling of 75125760 in words is "seventy-five million, one hundred twenty-five thousand, seven hundred sixty".