72562267162101 has 16 divisors (see below), whose sum is σ = 98615839015296. Its totient is φ = 47442523442496.

The previous prime is 72562267162097. The next prime is 72562267162237. The reversal of 72562267162101 is 10126176226527.

72562267162101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 72562267162101 - 2² = 72562267162097 is a prime.

It is a super-2 number, since 2×72562267162101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72562267162501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93788590 + ... + 94559103.

It is an arithmetic number, because the mean of its divisors is an integer number (6163489938456).

Almost surely, 2^{72562267162101} is an apocalyptic number.

It is an amenable number.

72562267162101 is a deficient number, since it is larger than the sum of its proper divisors (26053571853195).

72562267162101 is a wasteful number, since it uses less digits than its factorization.

72562267162101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188350172.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 72562267162101 in words is "seventy-two trillion, five hundred sixty-two billion, two hundred sixty-seven million, one hundred sixty-two thousand, one hundred one".