72162635126652 has 96 divisors (see below), whose sum is σ = 213822762316800. Its totient is φ = 20617167992256.

The previous prime is 72162635126641. The next prime is 72162635126671. The reversal of 72162635126652 is 25662153626127.

72162635126652 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 2 + 63 + 512 + 6 + 65 + 2 = 666.

72162635126652 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72162635126652² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19930849 + ... + 23271527.

It is an arithmetic number, because the mean of its divisors is an integer number (2227320440800).

Almost surely, 2^{72162635126652} is an apocalyptic number.

It is an amenable number.

72162635126652 is an abundant number, since it is smaller than the sum of its proper divisors (141660127190148).

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

72162635126652 is a wasteful number, since it uses less digits than its factorization.

72162635126652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369272 (or 3369264 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 72162635126652 in words is "seventy-two trillion, one hundred sixty-two billion, six hundred thirty-five million, one hundred twenty-six thousand, six hundred fifty-two".