72095977248 has 48 divisors (see below), whose sum is σ = 190085706720. Its totient is φ = 23926117376.

The previous prime is 72095977241. The next prime is 72095977273. The reversal of 72095977248 is 84277959027.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72095977191 and 72095977200.

It is not an unprimeable number, because it can be changed into a prime (72095977241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632393 + ... + 1675976.

It is an arithmetic number, because the mean of its divisors is an integer number (3960118890).

Almost surely, 2^72095977248 is an apocalyptic number.

It is an amenable number.

72095977248 is an abundant number, since it is smaller than the sum of its proper divisors (117989729472).

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

72095977248 is a wasteful number, since it uses less digits than its factorization.

72095977248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308609 (or 3308601 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 72095977248 in words is "seventy-two billion, ninety-five million, nine hundred seventy-seven thousand, two hundred forty-eight".