72120552 has 64 divisors (see below), whose sum is σ = 210288000. Its totient is φ = 20603520.

The previous prime is 72120547. The next prime is 72120563. The reversal of 72120552 is 25502127.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3852 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (3285750).

Almost surely, 2^72120552 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 72120552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144000).

72120552 is an abundant number, since it is smaller than the sum of its proper divisors (138167448).

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

72120552 is a wasteful number, since it uses less digits than its factorization.

72120552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 72120552 is about 8492.3819980027. The cubic root of 72120552 is about 416.2488187253.

Adding to 72120552 its reverse (25502127), we get a palindrome (97622679).

The spelling of 72120552 in words is "seventy-two million, one hundred twenty thousand, five hundred fifty-two".