72007152 has 80 divisors (see below), whose sum is σ = 217819392. Its totient is φ = 20067840.

The previous prime is 72007151. The next prime is 72007153. The reversal of 72007152 is 25170027.

It is an interprime number because it is at equal distance from previous prime (72007151) and next prime (72007153).

It is a super-2 number, since 2×72007152² = 10370059878302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11163 + ... + 16389.

Almost surely, 2^72007152 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 72007152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108909696).

72007152 is an abundant number, since it is smaller than the sum of its proper divisors (145812240).

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

72007152 is a wasteful number, since it uses less digits than its factorization.

72007152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72007152 is about 8485.7027994150. The cubic root of 72007152 is about 416.0305389316.

Adding to 72007152 its reverse (25170027), we get a palindrome (97177179).

The spelling of 72007152 in words is "seventy-two million, seven thousand, one hundred fifty-two".