72134028960 has 1152 divisors, whose sum is σ = 296528117760. Its totient is φ = 14631321600.

The previous prime is 72134028947. The next prime is 72134028977. The reversal of 72134028960 is 6982043127.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 567984417 + ... + 567984543.

It is an arithmetic number, because the mean of its divisors is an integer number (257402880).

Almost surely, 2^72134028960 is an apocalyptic number.

72134028960 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 72134028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148264058880).

72134028960 is an abundant number, since it is smaller than the sum of its proper divisors (224394088800).

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

72134028960 is a wasteful number, since it uses less digits than its factorization.

72134028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 72134028960 in words is "seventy-two billion, one hundred thirty-four million, twenty-eight thousand, nine hundred sixty".