72065475255456 has 384 divisors, whose sum is σ = 223251211008000. Its totient is φ = 22865788339200.

The previous prime is 72065475255427. The next prime is 72065475255457. The reversal of 72065475255456 is 65455257456027.

72065475255456 is a `hidden beast` number, since 7 + 2 + 0 + 6 + 5 + 4 + 7 + 525 + 54 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72065475255393 and 72065475255402.

It is not an unprimeable number, because it can be changed into a prime (72065475255457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132067470 + ... + 132612018.

It is an arithmetic number, because the mean of its divisors is an integer number (581383362000).

Almost surely, 2^{72065475255456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72065475255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111625605504000).

72065475255456 is an abundant number, since it is smaller than the sum of its proper divisors (151185735752544).

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

72065475255456 is an equidigital number, since it uses as much as digits as its factorization.

72065475255456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544672 (or 544646 counting only the distinct ones).

The product of its (nonzero) digits is 352800000, while the sum is 63.

The spelling of 72065475255456 in words is "seventy-two trillion, sixty-five billion, four hundred seventy-five million, two hundred fifty-five thousand, four hundred fifty-six".