75364736 has 64 divisors (see below), whose sum is σ = 157896000. Its totient is φ = 35782656.

The previous prime is 75364733. The next prime is 75364739. The reversal of 75364736 is 63746357.

It is an interprime number because it is at equal distance from previous prime (75364733) and next prime (75364739).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 75364693 and 75364702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75364733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293120 + ... + 293376.

It is an arithmetic number, because the mean of its divisors is an integer number (2467125).

Almost surely, 2^75364736 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 75364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78948000).

75364736 is an abundant number, since it is smaller than the sum of its proper divisors (82531264).

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

75364736 is a wasteful number, since it uses less digits than its factorization.

75364736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 75364736 is about 8681.2865405998. The cubic root of 75364736 is about 422.3988502417.

The spelling of 75364736 in words is "seventy-five million, three hundred sixty-four thousand, seven hundred thirty-six".