35070800072 has 128 divisors (see below), whose sum is σ = 82685940480. Its totient is φ = 13547520000.

The previous prime is 35070800069. The next prime is 35070800081. The reversal of 35070800072 is 27000807053.

It is a super-2 number, since 2×35070800072² (a number of 22 digits) contains 22 as substring.

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, 50029322 + ... + 50030022.

It is an arithmetic number, because the mean of its divisors is an integer number (645983910).

Almost surely, 2^35070800072 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 35070800072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342970240).

35070800072 is an abundant number, since it is smaller than the sum of its proper divisors (47615140408).

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

35070800072 is a wasteful number, since it uses less digits than its factorization.

35070800072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 35070800072 in words is "thirty-five billion, seventy million, eight hundred thousand, seventy-two".