72096248340 has 96 divisors (see below), whose sum is σ = 227068705920. Its totient is φ = 19225654560.

The previous prime is 72096248327. The next prime is 72096248347. The reversal of 72096248340 is 4384269027.

72096248340 is a `hidden beast` number, since 7 + 209 + 62 + 48 + 340 = 666.

It is a super-3 number, since 3×72096248340³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72096248347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780406 + ... + 867885.

It is an arithmetic number, because the mean of its divisors is an integer number (2365299020).

Almost surely, 2^72096248340 is an apocalyptic number.

It is an amenable number.

72096248340 is an abundant number, since it is smaller than the sum of its proper divisors (154972457580).

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

72096248340 is a wasteful number, since it uses less digits than its factorization.

72096248340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648321 (or 1648301 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72096248340 in words is "seventy-two billion, ninety-six million, two hundred forty-eight thousand, three hundred forty".