75721828 has 48 divisors (see below), whose sum is σ = 163899904. Its totient is φ = 29808000.

The previous prime is 75721787. The next prime is 75721829. The reversal of 75721828 is 82812757.

It is not an unprimeable number, because it can be changed into a prime (75721829) 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 15 ways as a sum of consecutive naturals, for example, 100453 + ... + 101203.

Almost surely, 2^75721828 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 75721828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81949952).

75721828 is an abundant number, since it is smaller than the sum of its proper divisors (88178076).

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

75721828 is a wasteful number, since it uses less digits than its factorization.

75721828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its digits is 62720, while the sum is 40.

The square root of 75721828 is about 8701.8290031464. The cubic root of 75721828 is about 423.0649338548.

The spelling of 75721828 in words is "seventy-five million, seven hundred twenty-one thousand, eight hundred twenty-eight".