75345696 has 72 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 25015680.

The previous prime is 75345691. The next prime is 75345703. The reversal of 75345696 is 69654357.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (75345691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123825 + ... + 124431.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^75345696 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 75345696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

75345696 is an abundant number, since it is smaller than the sum of its proper divisors (139769568).

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

75345696 is a wasteful number, since it uses less digits than its factorization.

75345696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 75345696 is about 8680.1898596747. The cubic root of 75345696 is about 422.3632759050.

The spelling of 75345696 in words is "seventy-five million, three hundred forty-five thousand, six hundred ninety-six".