72696669696 has 960 divisors, whose sum is σ = 272055801600. Its totient is φ = 19037749248.

The previous prime is 72696669631. The next prime is 72696669737. The reversal of 72696669696 is 69696669627.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (476171136) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679408075 + ... + 679408181.

It is an arithmetic number, because the mean of its divisors is an integer number (283391460).

Almost surely, 2^72696669696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72696669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136027900800).

72696669696 is an abundant number, since it is smaller than the sum of its proper divisors (199359131904).

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

72696669696 is a wasteful number, since it uses less digits than its factorization.

72696669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 72.

The spelling of 72696669696 in words is "seventy-two billion, six hundred ninety-six million, six hundred sixty-nine thousand, six hundred ninety-six".