72134449202760 has 2048 divisors, whose sum is σ = 292426371072000. Its totient is φ = 13829931270144.

The previous prime is 72134449202719. The next prime is 72134449202831. The reversal of 72134449202760 is 6720294443127.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 117674468214 + ... + 117674468826.

It is an arithmetic number, because the mean of its divisors is an integer number (142786314000).

Almost surely, 2^{72134449202760} is an apocalyptic number.

72134449202760 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 72134449202760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146213185536000).

72134449202760 is an abundant number, since it is smaller than the sum of its proper divisors (220291921869240).

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

72134449202760 is a wasteful number, since it uses less digits than its factorization.

72134449202760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 72134449202760 in words is "seventy-two trillion, one hundred thirty-four billion, four hundred forty-nine million, two hundred two thousand, seven hundred sixty".