72005450 has 48 divisors (see below), whose sum is σ = 147847680. Its totient is φ = 25872000.

The previous prime is 72005449. The next prime is 72005473. The reversal of 72005450 is 5450027.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48215 + ... + 49685.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 2^72005450 is an apocalyptic number.

72005450 is an abundant number, since it is smaller than the sum of its proper divisors (75842230).

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

72005450 is a wasteful number, since it uses less digits than its factorization.

72005450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 72005450 is about 8485.6025124914. The cubic root of 72005450 is about 416.0272610648.

Adding to 72005450 its reverse (5450027), we get a palindrome (77455477).

The spelling of 72005450 in words is "seventy-two million, five thousand, four hundred fifty".