72453431200 has 72 divisors (see below), whose sum is σ = 177854515020. Its totient is φ = 28821196800.

The previous prime is 72453431189. The next prime is 72453431201. The reversal of 72453431200 is 213435427.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 399840016 + 72053591184 = 19996^2 + 268428^2 .

It is not an unprimeable number, because it can be changed into a prime (72453431201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105385 + ... + 394984.

Almost surely, 2^72453431200 is an apocalyptic number.

It is an amenable number.

72453431200 is an abundant number, since it is smaller than the sum of its proper divisors (105401083820).

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

72453431200 is a wasteful number, since it uses less digits than its factorization.

72453431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500570 (or 500557 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 72453431200 its reverse (213435427), we get a palindrome (72666866627).

The spelling of 72453431200 in words is "seventy-two billion, four hundred fifty-three million, four hundred thirty-one thousand, two hundred".