72493509520 has 40 divisors (see below), whose sum is σ = 170216214840. Its totient is φ = 28710297600.

The previous prime is 72493509503. The next prime is 72493509523. The reversal of 72493509520 is 2590539427.

It can be written as a sum of positive squares in 4 ways, for example, as 25385411584 + 47108097936 = 159328^2 + 217044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (72493509523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4477905 + ... + 4494064.

It is an arithmetic number, because the mean of its divisors is an integer number (4255405371).

Almost surely, 2^72493509520 is an apocalyptic number.

It is an amenable number.

72493509520 is an abundant number, since it is smaller than the sum of its proper divisors (97722705320).

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

72493509520 is a wasteful number, since it uses less digits than its factorization.

72493509520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972083 (or 8972077 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 72493509520 in words is "seventy-two billion, four hundred ninety-three million, five hundred nine thousand, five hundred twenty".