72028575 has 48 divisors (see below), whose sum is σ = 140124960. Its totient is φ = 36149760.

The previous prime is 72028543. The next prime is 72028633. The reversal of 72028575 is 57582027.

It is not a de Polignac number, because 72028575 - 2⁵ = 72028543 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8337 + ... + 14613.

It is an arithmetic number, because the mean of its divisors is an integer number (2919270).

Almost surely, 2^72028575 is an apocalyptic number.

72028575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72028575 is a deficient number, since it is larger than the sum of its proper divisors (68096385).

72028575 is a wasteful number, since it uses less digits than its factorization.

72028575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72028575 is about 8486.9650052301. The cubic root of 72028575 is about 416.0717928824.

The spelling of 72028575 in words is "seventy-two million, twenty-eight thousand, five hundred seventy-five".