75001360 has 180 divisors, whose sum is σ = 218125548. Its totient is φ = 23901696.

The previous prime is 75001357. The next prime is 75001363. The reversal of 75001360 is 6310057.

It is an interprime number because it is at equal distance from previous prime (75001357) and next prime (75001363).

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 34245904 = 6384^2 + 5852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75001363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1415094 + ... + 1415146.

Almost surely, 2^75001360 is an apocalyptic number.

75001360 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 75001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109062774).

75001360 is an abundant number, since it is smaller than the sum of its proper divisors (143124188).

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

75001360 is a wasteful number, since it uses less digits than its factorization.

75001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 75001360 is about 8660.3325571250. The cubic root of 75001360 is about 421.7188816764.

The spelling of 75001360 in words is "seventy-five million, one thousand, three hundred sixty".