75967956 has 60 divisors (see below), whose sum is σ = 203994868. Its totient is φ = 24634368.

The previous prime is 75967939. The next prime is 75967973. The reversal of 75967956 is 65976957.

It is an interprime number because it is at equal distance from previous prime (75967939) and next prime (75967973).

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 26687556 = 7020^2 + 5166^2 .

It is a super-2 number, since 2×75967956² = 11542260677635872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8820 + ... + 15156.

Almost surely, 2^75967956 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 75967956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101997434).

75967956 is an abundant number, since it is smaller than the sum of its proper divisors (128026912).

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

75967956 is a wasteful number, since it uses less digits than its factorization.

75967956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6379 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The square root of 75967956 is about 8715.9598438726. The cubic root of 75967956 is about 423.5228181572.

Subtracting from 75967956 its reverse (65976957), we obtain a palindrome (9990999).

The spelling of 75967956 in words is "seventy-five million, nine hundred sixty-seven thousand, nine hundred fifty-six".