72012800 has 132 divisors (see below), whose sum is σ = 186563580. Its totient is φ = 27525120.

The previous prime is 72012797. The next prime is 72012803. The reversal of 72012800 is 821027.

It is an interprime number because it is at equal distance from previous prime (72012797) and next prime (72012803).

It can be written as a sum of positive squares in 6 ways, for example, as 1721344 + 70291456 = 1312^2 + 8384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72012803) 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, 742352 + ... + 742448.

Almost surely, 2^72012800 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 72012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93281790).

72012800 is an abundant number, since it is smaller than the sum of its proper divisors (114550780).

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

72012800 is a wasteful number, since it uses less digits than its factorization.

72012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 72012800 is about 8486.0355879527. The cubic root of 72012800 is about 416.0414159949.

Adding to 72012800 its reverse (821027), we get a palindrome (72833827).

It can be divided in two parts, 7201 and 2800, that added together give a palindrome (10001).

The spelling of 72012800 in words is "seventy-two million, twelve thousand, eight hundred".