72167127071 has 64 divisors (see below), whose sum is σ = 87397761024. Its totient is φ = 59008435200.

The previous prime is 72167127061. The next prime is 72167127079. The reversal of 72167127071 is 17072176127.

It is not a de Polignac number, because 72167127071 - 2⁶ = 72167127007 is a prime.

It is a super-2 number, since 2×72167127071² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167127079) 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, 20139746 + ... + 20143328.

It is an arithmetic number, because the mean of its divisors is an integer number (1365590016).

Almost surely, 2^72167127071 is an apocalyptic number.

72167127071 is a deficient number, since it is larger than the sum of its proper divisors (15230633953).

72167127071 is a wasteful number, since it uses less digits than its factorization.

72167127071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 57624, while the sum is 41.

The spelling of 72167127071 in words is "seventy-two billion, one hundred sixty-seven million, one hundred twenty-seven thousand, seventy-one".