72071136 has 72 divisors (see below), whose sum is σ = 205975224. Its totient is φ = 23904000.

The previous prime is 72071107. The next prime is 72071159. The reversal of 72071136 is 63117027.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71790 + ... + 72786.

It is an arithmetic number, because the mean of its divisors is an integer number (2860767).

Almost surely, 2^72071136 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 72071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102987612).

72071136 is an abundant number, since it is smaller than the sum of its proper divisors (133904088).

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

72071136 is a wasteful number, since it uses less digits than its factorization.

72071136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72071136 is about 8489.4720683915. The cubic root of 72071136 is about 416.1537277016.

The spelling of 72071136 in words is "seventy-two million, seventy-one thousand, one hundred thirty-six".