72585052 has 12 divisors (see below), whose sum is σ = 127877400. Its totient is φ = 36048656.

The previous prime is 72585049. The next prime is 72585067. The reversal of 72585052 is 25058527.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 72584999 and 72585017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60298 + ... + 61489.

It is an arithmetic number, because the mean of its divisors is an integer number (10656450).

Almost surely, 2^72585052 is an apocalyptic number.

It is an amenable number.

72585052 is a deficient number, since it is larger than the sum of its proper divisors (55292348).

72585052 is a wasteful number, since it uses less digits than its factorization.

72585052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121940 (or 121938 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 72585052 is about 8519.6861444539. The cubic root of 72585052 is about 417.1405384827.

The spelling of 72585052 in words is "seventy-two million, five hundred eighty-five thousand, fifty-two".