362070072 has 192 divisors, whose sum is σ = 1225049280. Its totient is φ = 94058496.

The previous prime is 362070041. The next prime is 362070073. The reversal of 362070072 is 270070263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362070073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477918 + ... + 478674.

It is an arithmetic number, because the mean of its divisors is an integer number (6380465).

Almost surely, 2^362070072 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 362070072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612524640).

362070072 is an abundant number, since it is smaller than the sum of its proper divisors (862979208).

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

362070072 is a wasteful number, since it uses less digits than its factorization.

362070072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 362070072 is about 19028.1389526144. The cubic root of 362070072 is about 712.7395788968.

The spelling of 362070072 in words is "three hundred sixty-two million, seventy thousand, seventy-two".