72623181280 has 192 divisors, whose sum is σ = 196681540608. Its totient is φ = 25102909440.

The previous prime is 72623181233. The next prime is 72623181287. The reversal of 72623181280 is 8218132627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72623181287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6748384 + ... + 6759136.

It is an arithmetic number, because the mean of its divisors is an integer number (1024383024).

Almost surely, 2^72623181280 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 72623181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98340770304).

72623181280 is an abundant number, since it is smaller than the sum of its proper divisors (124058359328).

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

72623181280 is a wasteful number, since it uses less digits than its factorization.

72623181280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10989 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 72623181280 in words is "seventy-two billion, six hundred twenty-three million, one hundred eighty-one thousand, two hundred eighty".