73723110400 has 99 divisors (see below), whose sum is σ = 182851789699. Its totient is φ = 29471866880.

The previous prime is 73723110347. The next prime is 73723110457. The reversal of 73723110400 is 401132737.

The square root of 73723110400 is 271520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13890036736 + 59833073664 = 117856^2 + 244608^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 43442352 + ... + 43444048.

Almost surely, 2^73723110400 is an apocalyptic number.

73723110400 is the 271520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73723110400

73723110400 is an abundant number, since it is smaller than the sum of its proper divisors (109128679299).

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

73723110400 is an frugal number, since it uses more digits than its factorization.

73723110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 73723110400 in words is "seventy-three billion, seven hundred twenty-three million, one hundred ten thousand, four hundred".