72005425 has 12 divisors (see below), whose sum is σ = 90173916. Its totient is φ = 57032000.

The previous prime is 72005411. The next prime is 72005443. The reversal of 72005425 is 52450027.

It can be written as a sum of positive squares in 6 ways, for example, as 8898289 + 63107136 = 2983^2 + 7944^2 .

It is not a de Polignac number, because 72005425 - 2⁵ = 72005393 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72005425.

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 11 ways as a sum of consecutive naturals, for example, 11734 + ... + 16783.

It is an arithmetic number, because the mean of its divisors is an integer number (7514493).

Almost surely, 2^72005425 is an apocalyptic number.

It is an amenable number.

72005425 is a deficient number, since it is larger than the sum of its proper divisors (18168491).

72005425 is a wasteful number, since it uses less digits than its factorization.

72005425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28628 (or 28623 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 72005425 is about 8485.6010394079. The cubic root of 72005425 is about 416.0272129172.

The spelling of 72005425 in words is "seventy-two million, five thousand, four hundred twenty-five".