75696672 has 96 divisors (see below), whose sum is σ = 207071424. Its totient is φ = 24192000.

The previous prime is 75696629. The next prime is 75696679. The reversal of 75696672 is 27669657.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75696679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358647 + ... + 358857.

It is an arithmetic number, because the mean of its divisors is an integer number (2156994).

Almost surely, 2^75696672 is an apocalyptic number.

75696672 is the 7104-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103535712).

75696672 is an abundant number, since it is smaller than the sum of its proper divisors (131374752).

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

75696672 is a wasteful number, since it uses less digits than its factorization.

75696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 75696672 is about 8700.3834398261. The cubic root of 75696672 is about 423.0180790243.

It can be divided in two parts, 7569 and 6672, that added together give a palindrome (14241).

The spelling of 75696672 in words is "seventy-five million, six hundred ninety-six thousand, six hundred seventy-two".