72480600 has 144 divisors (see below), whose sum is σ = 247458120. Its totient is φ = 19008000.

The previous prime is 72480593. The next prime is 72480601. The reversal of 72480600 is 608427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72480601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120300 + ... + 120900.

Almost surely, 2^72480600 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 72480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123729060).

72480600 is an abundant number, since it is smaller than the sum of its proper divisors (174977520).

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

72480600 is a wasteful number, since it uses less digits than its factorization.

72480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72480600 is about 8513.5538995181. The cubic root of 72480600 is about 416.9403499723.

The spelling of 72480600 in words is "seventy-two million, four hundred eighty thousand, six hundred".