72379558260 has 384 divisors, whose sum is σ = 237404160000. Its totient is φ = 18284797440.

The previous prime is 72379558243. The next prime is 72379558267. The reversal of 72379558260 is 6285597327.

72379558260 is a `hidden beast` number, since 7 + 2 + 379 + 5 + 5 + 8 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 72379558197 and 72379558206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72379558267) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302843221 + ... + 302843459.

It is an arithmetic number, because the mean of its divisors is an integer number (618240000).

Almost surely, 2^72379558260 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 72379558260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118702080000).

72379558260 is an abundant number, since it is smaller than the sum of its proper divisors (165024601740).

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

72379558260 is a wasteful number, since it uses less digits than its factorization.

72379558260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 72379558260 in words is "seventy-two billion, three hundred seventy-nine million, five hundred fifty-eight thousand, two hundred sixty".