72114667014 has 48 divisors (see below), whose sum is σ = 156336165072. Its totient is φ = 22166561664.

The previous prime is 72114667013. The next prime is 72114667021. The reversal of 72114667014 is 41076641127.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72114667013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975292 + ... + 1046624.

It is an arithmetic number, because the mean of its divisors is an integer number (3257003439).

Almost surely, 2^72114667014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72114667014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78168082536).

72114667014 is an abundant number, since it is smaller than the sum of its proper divisors (84221498058).

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

72114667014 is a wasteful number, since it uses less digits than its factorization.

72114667014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72361 (or 72348 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 72114667014 in words is "seventy-two billion, one hundred fourteen million, six hundred sixty-seven thousand, fourteen".