72718000425 has 144 divisors (see below), whose sum is σ = 155832436800. Its totient is φ = 33149088000.

The previous prime is 72718000417. The next prime is 72718000451. The reversal of 72718000425 is 52400081727.

It is not a de Polignac number, because 72718000425 - 2³ = 72718000417 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72718000425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12532525 + ... + 12538325.

It is an arithmetic number, because the mean of its divisors is an integer number (1082169700).

Almost surely, 2^72718000425 is an apocalyptic number.

72718000425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72718000425 is the 170550-th heptagonal number.

It is an amenable number.

72718000425 is an abundant number, since it is smaller than the sum of its proper divisors (83114436375).

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

72718000425 is a wasteful number, since it uses less digits than its factorization.

72718000425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 72718000425 in words is "seventy-two billion, seven hundred eighteen million, four hundred twenty-five", and thus it is an aban number.