72145600 has 84 divisors (see below), whose sum is σ = 180440584. Its totient is φ = 28385280.

The previous prime is 72145583. The next prime is 72145607. The reversal of 72145600 is 654127.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (72145607) 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 11 ways as a sum of consecutive naturals, for example, 106864 + ... + 107536.

Almost surely, 2^72145600 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 72145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90220292).

72145600 is an abundant number, since it is smaller than the sum of its proper divisors (108294984).

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

72145600 is a wasteful number, since it uses less digits than its factorization.

72145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 72145600 is about 8493.8566034517. The cubic root of 72145600 is about 416.2970019099.

Adding to 72145600 its reverse (654127), we get a palindrome (72799727).

The spelling of 72145600 in words is "seventy-two million, one hundred forty-five thousand, six hundred".