72042345 has 32 divisors (see below), whose sum is σ = 135613440. Its totient is φ = 36161280.

The previous prime is 72042343. The next prime is 72042349. The reversal of 72042345 is 54324027.

It is not a de Polignac number, because 72042345 - 2¹ = 72042343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72042343) 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 31 ways as a sum of consecutive naturals, for example, 13401 + ... + 17990.

It is an arithmetic number, because the mean of its divisors is an integer number (4237920).

Almost surely, 2^72042345 is an apocalyptic number.

It is an amenable number.

72042345 is a deficient number, since it is larger than the sum of its proper divisors (63571095).

72042345 is a wasteful number, since it uses less digits than its factorization.

72042345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31422 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 72042345 is about 8487.7762105277. The cubic root of 72042345 is about 416.0983052470.

The spelling of 72042345 in words is "seventy-two million, forty-two thousand, three hundred forty-five".