75261312 has 320 divisors, whose sum is σ = 275473440. Its totient is φ = 19906560.

The previous prime is 75261311. The next prime is 75261331. The reversal of 75261312 is 21316257.

It is a happy number.

75261312 is a `hidden beast` number, since 7 + 526 + 131 + 2 = 666.

It is a super-2 number, since 2×75261312² = 11328530167922688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75261311) 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 39 ways as a sum of consecutive naturals, for example, 1233762 + ... + 1233822.

Almost surely, 2^75261312 is an apocalyptic number.

75261312 is a gapful number since it is divisible by the number (72) 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 75261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137736720).

75261312 is an abundant number, since it is smaller than the sum of its proper divisors (200212128).

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

75261312 is a wasteful number, since it uses less digits than its factorization.

75261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75261312 is about 8675.3277747875. The cubic root of 75261312 is about 422.2055406562.

Adding to 75261312 its reverse (21316257), we get a palindrome (96577569).

The spelling of 75261312 in words is "seventy-five million, two hundred sixty-one thousand, three hundred twelve".