36700733700072 has 256 divisors, whose sum is σ = 111288038400000. Its totient is φ = 11138579682048.

The previous prime is 36700733700067. The next prime is 36700733700077. The reversal of 36700733700072 is 27000733700763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36700733700067) and next prime (36700733700077).

It is not an unprimeable number, because it can be changed into a prime (36700733700077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225965629 + ... + 226127987.

It is an arithmetic number, because the mean of its divisors is an integer number (434718900000).

Almost surely, 2^{36700733700072} 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 36700733700072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55644019200000).

36700733700072 is an abundant number, since it is smaller than the sum of its proper divisors (74587304699928).

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

36700733700072 is a wasteful number, since it uses less digits than its factorization.

36700733700072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163485 (or 163475 counting only the distinct ones).

The product of its (nonzero) digits is 777924, while the sum is 45.

The spelling of 36700733700072 in words is "thirty-six trillion, seven hundred billion, seven hundred thirty-three million, seven hundred thousand, seventy-two".