72111766400 has 48 divisors (see below), whose sum is σ = 178138605840. Its totient is φ = 28844705280.

The previous prime is 72111766381. The next prime is 72111766423. The reversal of 72111766400 is 466711127.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11264264 + ... + 11270663.

It is an arithmetic number, because the mean of its divisors is an integer number (3711220955).

Almost surely, 2^72111766400 is an apocalyptic number.

It is an amenable number.

72111766400 is an abundant number, since it is smaller than the sum of its proper divisors (106026839440).

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

72111766400 is a wasteful number, since it uses less digits than its factorization.

72111766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22534951 (or 22534934 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 72111766400 in words is "seventy-two billion, one hundred eleven million, seven hundred sixty-six thousand, four hundred".