75412660 has 48 divisors (see below), whose sum is σ = 164419920. Its totient is φ = 29030400.

The previous prime is 75412651. The next prime is 75412661. The reversal of 75412660 is 6621457.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8892324 + 66520336 = 2982^2 + 8156^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75412661) 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, 74236 + ... + 75244.

It is an arithmetic number, because the mean of its divisors is an integer number (3425415).

Almost surely, 2^75412660 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 75412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82209960).

75412660 is an abundant number, since it is smaller than the sum of its proper divisors (89007260).

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

75412660 is a wasteful number, since it uses less digits than its factorization.

75412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 75412660 is about 8684.0462919079. The cubic root of 75412660 is about 422.4883649329.

It can be divided in two parts, 7541 and 2660, that added together give a palindrome (10201).

The spelling of 75412660 in words is "seventy-five million, four hundred twelve thousand, six hundred sixty".