72005052 has 24 divisors (see below), whose sum is σ = 192013696. Its totient is φ = 20572848.

The previous prime is 72005051. The next prime is 72005099. The reversal of 72005052 is 25050027.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428518 + ... + 428685.

Almost surely, 2^72005052 is an apocalyptic number.

It is an amenable number.

72005052 is an abundant number, since it is smaller than the sum of its proper divisors (120008644).

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

72005052 is a wasteful number, since it uses less digits than its factorization.

72005052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857217 (or 857215 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72005052 is about 8485.5790609716. The cubic root of 72005052 is about 416.0264945527.

Adding to 72005052 its reverse (25050027), we get a palindrome (97055079).

The spelling of 72005052 in words is "seventy-two million, five thousand, fifty-two".