72106546300452 has 18 divisors (see below), whose sum is σ = 182269325370678. Its totient is φ = 24035515433472.

The previous prime is 72106546300433. The next prime is 72106546300463. The reversal of 72106546300452 is 25400364560127.

72106546300452 is a `hidden beast` number, since 7 + 2 + 1 + 0 + 6 + 5 + 4 + 630 + 0 + 4 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64376455968036 + 7730090332416 = 8023494^2 + 2780304^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 72106546300398 and 72106546300407.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1001479809693 + ... + 1001479809764.

Almost surely, 2^{72106546300452} is an apocalyptic number.

It is an amenable number.

72106546300452 is an abundant number, since it is smaller than the sum of its proper divisors (110162779070226).

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

72106546300452 is a wasteful number, since it uses less digits than its factorization.

72106546300452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002959619467 (or 2002959619462 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 72106546300452 in words is "seventy-two trillion, one hundred six billion, five hundred forty-six million, three hundred thousand, four hundred fifty-two".