72142307328 has 360 divisors, whose sum is σ = 238646517312. Its totient is φ = 18876727296.

The previous prime is 72142307287. The next prime is 72142307389. The reversal of 72142307328 is 82370324127.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568049601 + ... + 568049727.

Almost surely, 2^72142307328 is an apocalyptic number.

72142307328 is a gapful number since it is divisible by the number (78) 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 72142307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119323258656).

72142307328 is an abundant number, since it is smaller than the sum of its proper divisors (166504209984).

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

72142307328 is an equidigital number, since it uses as much as digits as its factorization.

72142307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 72142307328 in words is "seventy-two billion, one hundred forty-two million, three hundred seven thousand, three hundred twenty-eight".