7205012076132 has 240 divisors, whose sum is σ = 20889166636800. Its totient is φ = 2151759168000.

The previous prime is 7205012076127. The next prime is 7205012076161. The reversal of 7205012076132 is 2316702105027.

7205012076132 is a `hidden beast` number, since 7 + 20 + 5 + 0 + 12 + 0 + 7 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19448632 + ... + 19815632.

It is an arithmetic number, because the mean of its divisors is an integer number (87038194320).

Almost surely, 2^{7205012076132} 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 7205012076132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444583318400).

7205012076132 is an abundant number, since it is smaller than the sum of its proper divisors (13684154560668).

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

7205012076132 is a wasteful number, since it uses less digits than its factorization.

7205012076132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367168 (or 367157 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 7205012076132 in words is "seven trillion, two hundred five billion, twelve million, seventy-six thousand, one hundred thirty-two".