72142479360 has 448 divisors, whose sum is σ = 293163955200. Its totient is φ = 16487940096.

The previous prime is 72142479317. The next prime is 72142479371. The reversal of 72142479360 is 6397424127.

72142479360 is a `hidden beast` number, since 7 + 2 + 142 + 479 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7736781 + ... + 7746099.

Almost surely, 2^72142479360 is an apocalyptic number.

72142479360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72142479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146581977600).

72142479360 is an abundant number, since it is smaller than the sum of its proper divisors (221021475840).

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

72142479360 is an equidigital number, since it uses as much as digits as its factorization.

72142479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 72142479360 in words is "seventy-two billion, one hundred forty-two million, four hundred seventy-nine thousand, three hundred sixty".