72348579000 has 256 divisors, whose sum is σ = 257590569600. Its totient is φ = 18771264000.

The previous prime is 72348578977. The next prime is 72348579001. The reversal of 72348579000 is 97584327.

72348579000 is a `hidden beast` number, since 72 + 3 + 4 + 8 + 579 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72348579001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962790 + ... + 1035210.

Almost surely, 2^72348579000 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 72348579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128795284800).

72348579000 is an abundant number, since it is smaller than the sum of its proper divisors (185241990600).

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

72348579000 is a wasteful number, since it uses less digits than its factorization.

72348579000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72488 (or 72468 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72348579000 in words is "seventy-two billion, three hundred forty-eight million, five hundred seventy-nine thousand".