72055600 has 90 divisors (see below), whose sum is σ = 183070500. Its totient is φ = 27250560.

The previous prime is 72055597. The next prime is 72055601. The reversal of 72055600 is 655027.

It is a happy number.

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 (72055601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144151 + ... + 144649.

Almost surely, 2^72055600 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 72055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91535250).

72055600 is an abundant number, since it is smaller than the sum of its proper divisors (111014900).

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

72055600 is a wasteful number, since it uses less digits than its factorization.

72055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 72055600 is about 8488.5570034017. The cubic root of 72055600 is about 416.1238228543.

The spelling of 72055600 in words is "seventy-two million, fifty-five thousand, six hundred".