75069120 has 112 divisors (see below), whose sum is σ = 272418048. Its totient is φ = 17157120.

The previous prime is 75069119. The next prime is 75069121. The reversal of 75069120 is 2196057.

It is an interprime number because it is at equal distance from previous prime (75069119) and next prime (75069121).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (75069121) 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 15 ways as a sum of consecutive naturals, for example, 1135 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (2432304).

Almost surely, 2^75069120 is an apocalyptic number.

75069120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

75069120 is an abundant number, since it is smaller than the sum of its proper divisors (197348928).

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

75069120 is a wasteful number, since it uses less digits than its factorization.

75069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 75069120 is about 8664.2437638838. The cubic root of 75069120 is about 421.8458441305.

It can be divided in two parts, 750 and 69120, that multiplied together give a square (51840000 = 7200²).

The spelling of 75069120 in words is "seventy-five million, sixty-nine thousand, one hundred twenty".