72552015456456 has 64 divisors (see below), whose sum is σ = 183439393200000. Its totient is φ = 23909487883776.

The previous prime is 72552015456413. The next prime is 72552015456457. The reversal of 72552015456456 is 65465451025527.

72552015456456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 72552015456396 and 72552015456405.

It is not an unprimeable number, because it can be changed into a prime (72552015456457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16392450 + ... + 20342478.

It is an arithmetic number, because the mean of its divisors is an integer number (2866240518750).

Almost surely, 2^{72552015456456} is an apocalyptic number.

It is an amenable number.

72552015456456 is an abundant number, since it is smaller than the sum of its proper divisors (110887377743544).

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

72552015456456 is a wasteful number, since it uses less digits than its factorization.

72552015456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958726 (or 3958722 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 57.

The spelling of 72552015456456 in words is "seventy-two trillion, five hundred fifty-two billion, fifteen million, four hundred fifty-six thousand, four hundred fifty-six".