72435305152300 has 72 divisors (see below), whose sum is σ = 165459512413440. Its totient is φ = 27448832174400.

The previous prime is 72435305152283. The next prime is 72435305152321. The reversal of 72435305152300 is 325150353427.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200320665 + ... + 200681935.

It is an arithmetic number, because the mean of its divisors is an integer number (2298048783520).

Almost surely, 2^{72435305152300} is an apocalyptic number.

It is an amenable number.

72435305152300 is an abundant number, since it is smaller than the sum of its proper divisors (93024207261140).

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

72435305152300 is a wasteful number, since it uses less digits than its factorization.

72435305152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466831 (or 466824 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 72435305152300 in words is "seventy-two trillion, four hundred thirty-five billion, three hundred five million, one hundred fifty-two thousand, three hundred".