74753028100 has 81 divisors (see below), whose sum is σ = 171320054997. Its totient is φ = 28307777760.

The previous prime is 74753028089. The next prime is 74753028101. The reversal of 74753028100 is 182035747.

The square root of 74753028100 is 273410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26911090116 + 47841937984 = 164046^2 + 218728^2 .

It is a super-2 number, since 2×74753028100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74753028100.

It is not an unprimeable number, because it can be changed into a prime (74753028101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 51947181 + ... + 51948619.

Almost surely, 2^74753028100 is an apocalyptic number.

74753028100 is the 273410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74753028100

74753028100 is an abundant number, since it is smaller than the sum of its proper divisors (96567026897).

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

74753028100 is a wasteful number, since it uses less digits than its factorization.

74753028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 74753028100 in words is "seventy-four billion, seven hundred fifty-three million, twenty-eight thousand, one hundred".