72600052 has 48 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 29364192.

The previous prime is 72600049. The next prime is 72600071. The reversal of 72600052 is 25000627.

It is a junction number, because it is equal to n+sod(n) for n = 72599996 and 72600032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50163 + ... + 51589.

It is an arithmetic number, because the mean of its divisors is an integer number (3198720).

Almost surely, 2^72600052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72600052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

72600052 is an abundant number, since it is smaller than the sum of its proper divisors (80938508).

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

72600052 is a wasteful number, since it uses less digits than its factorization.

72600052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72600052 is about 8520.5664130972. The cubic root of 72600052 is about 417.1692711071.

Adding to 72600052 its reverse (25000627), we get a palindrome (97600679).

The spelling of 72600052 in words is "seventy-two million, six hundred thousand, fifty-two".