72027072 has 84 divisors (see below), whose sum is σ = 222356680. Its totient is φ = 22159872.

The previous prime is 72027071. The next prime is 72027073. The reversal of 72027072 is 27072027.

It is an interprime number because it is at equal distance from previous prime (72027071) and next prime (72027073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72027071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679 + ... + 12297.

Almost surely, 2^72027072 is an apocalyptic number.

72027072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111178340).

72027072 is an abundant number, since it is smaller than the sum of its proper divisors (150329608).

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

72027072 is a wasteful number, since it uses less digits than its factorization.

72027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 72027072 is about 8486.8764572132. The cubic root of 72027072 is about 416.0688988446.

Adding to 72027072 its reverse (27072027), we get a palindrome (99099099).

The spelling of 72027072 in words is "seventy-two million, twenty-seven thousand, seventy-two".