72106552 has 32 divisors (see below), whose sum is σ = 155944800. Its totient is φ = 30616704.

The previous prime is 72106549. The next prime is 72106579. The reversal of 72106552 is 25560127.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72106552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 12010.

It is an arithmetic number, because the mean of its divisors is an integer number (4873275).

Almost surely, 2^72106552 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 72106552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77972400).

72106552 is an abundant number, since it is smaller than the sum of its proper divisors (83838248).

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

72106552 is a wasteful number, since it uses less digits than its factorization.

72106552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 72106552 is about 8491.5576898470. The cubic root of 72106552 is about 416.2218829887.

Adding to 72106552 its reverse (25560127), we get a palindrome (97666679).

The spelling of 72106552 in words is "seventy-two million, one hundred six thousand, five hundred fifty-two".