72251600 has 30 divisors (see below), whose sum is σ = 173585430. Its totient is φ = 28900480.

The previous prime is 72251587. The next prime is 72251611. The reversal of 72251600 is 615227.

It can be written as a sum of positive squares in 3 ways, for example, as 25684624 + 46566976 = 5068^2 + 6824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89915 + ... + 90714.

It is an arithmetic number, because the mean of its divisors is an integer number (5786181).

Almost surely, 2^72251600 is an apocalyptic number.

It is an amenable number.

72251600 is an abundant number, since it is smaller than the sum of its proper divisors (101333830).

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

72251600 is a wasteful number, since it uses less digits than its factorization.

72251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180647 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72251600 is about 8500.0941171260. The cubic root of 72251600 is about 416.5007837454.

Adding to 72251600 its reverse (615227), we get a palindrome (72866827).

It can be divided in two parts, 7225 and 1600, that multiplied together give a square (11560000 = 3400²).

The spelling of 72251600 in words is "seventy-two million, two hundred fifty-one thousand, six hundred".