72983001380 has 96 divisors (see below), whose sum is σ = 160952853600. Its totient is φ = 27762352128.

The previous prime is 72983001361. The next prime is 72983001383. The reversal of 72983001380 is 8310038927.

It can be written as a sum of positive squares in 16 ways, for example, as 11463128356 + 61519873024 = 107066^2 + 248032^2 .

It is not an unprimeable number, because it can be changed into a prime (72983001383) 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, 10933724 + ... + 10940396.

It is an arithmetic number, because the mean of its divisors is an integer number (1676592225).

Almost surely, 2^72983001380 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 72983001380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80476426800).

72983001380 is an abundant number, since it is smaller than the sum of its proper divisors (87969852220).

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

72983001380 is a wasteful number, since it uses less digits than its factorization.

72983001380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 72983001380 in words is "seventy-two billion, nine hundred eighty-three million, one thousand, three hundred eighty".