72311971940 has 384 divisors, whose sum is σ = 187389296640. Its totient is φ = 23172728832.

The previous prime is 72311971877. The next prime is 72311971957. The reversal of 72311971940 is 4917911327.

It is a junction number, because it is equal to n+sod(n) for n = 72311971891 and 72311971900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433005737 + ... + 433005903.

It is an arithmetic number, because the mean of its divisors is an integer number (487992960).

Almost surely, 2^72311971940 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 72311971940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93694648320).

72311971940 is an abundant number, since it is smaller than the sum of its proper divisors (115077324700).

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

72311971940 is a wasteful number, since it uses less digits than its factorization.

72311971940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 44.

The spelling of 72311971940 in words is "seventy-two billion, three hundred eleven million, nine hundred seventy-one thousand, nine hundred forty".