72062500 has 42 divisors (see below), whose sum is σ = 157771418. Its totient is φ = 28800000.

The previous prime is 72062491. The next prime is 72062503. The reversal of 72062500 is 526027.

It can be written as a sum of positive squares in 7 ways, for example, as 70997476 + 1065024 = 8426^2 + 1032^2 .

It is not an unprimeable number, because it can be changed into a prime (72062503) 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 13 ways as a sum of consecutive naturals, for example, 61924 + ... + 63076.

Almost surely, 2^72062500 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 72062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78885709).

72062500 is an abundant number, since it is smaller than the sum of its proper divisors (85708918).

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

72062500 is an equidigital number, since it uses as much as digits as its factorization.

72062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72062500 is about 8488.9634231748. The cubic root of 72062500 is about 416.1371050176.

Adding to 72062500 its reverse (526027), we get a palindrome (72588527).

The spelling of 72062500 in words is "seventy-two million, sixty-two thousand, five hundred".