72846611748 has 36 divisors (see below), whose sum is σ = 188631270828. Its totient is φ = 23689954560.

The previous prime is 72846611657. The next prime is 72846611749. The reversal of 72846611748 is 84711664827.

72846611748 is a `hidden beast` number, since 7 + 2 + 8 + 466 + 1 + 174 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13672157184 + 59174454564 = 116928^2 + 243258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 72846611694 and 72846611703.

It is not an unprimeable number, because it can be changed into a prime (72846611749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24675561 + ... + 24678512.

It is an arithmetic number, because the mean of its divisors is an integer number (5239757523).

Almost surely, 2^72846611748 is an apocalyptic number.

It is an amenable number.

72846611748 is an abundant number, since it is smaller than the sum of its proper divisors (115784659080).

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

72846611748 is a wasteful number, since it uses less digits than its factorization.

72846611748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49354124 (or 49354119 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 72846611748 in words is "seventy-two billion, eight hundred forty-six million, six hundred eleven thousand, seven hundred forty-eight".