75120000 has 160 divisors (see below), whose sum is σ = 250138680. Its totient is φ = 19968000.

The previous prime is 75119999. The next prime is 75120007. The reversal of 75120000 is 2157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239844 + ... + 240156.

Almost surely, 2^75120000 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 75120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125069340).

75120000 is an abundant number, since it is smaller than the sum of its proper divisors (175018680).

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

75120000 is an equidigital number, since it uses as much as digits as its factorization.

75120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 75120000 is about 8667.1794720082. The cubic root of 75120000 is about 421.9411281799.

Adding to 75120000 its reverse (2157), we get a palindrome (75122157).

It can be divided in two parts, 75 and 120000, that multiplied together give a square (9000000 = 3000²).

The spelling of 75120000 in words is "seventy-five million, one hundred twenty thousand".