73072902400 has 243 divisors, whose sum is σ = 188619784983. Its totient is φ = 28026777600.

The previous prime is 73072902373. The next prime is 73072902401. The reversal of 73072902400 is 420927037.

The square root of 73072902400 is 270320.

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 267911424 + 72804990976 = 16368^2 + 269824^2 .

It is not an unprimeable number, because it can be changed into a prime (73072902401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 670393546 + ... + 670393654.

Almost surely, 2^73072902400 is an apocalyptic number.

73072902400 is the 270320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73072902400

73072902400 is an abundant number, since it is smaller than the sum of its proper divisors (115546882583).

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

73072902400 is an equidigital number, since it uses as much as digits as its factorization.

73072902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 73072902400 in words is "seventy-three billion, seventy-two million, nine hundred two thousand, four hundred".