72648552 has 64 divisors (see below), whose sum is σ = 192168000. Its totient is φ = 22823424.

The previous prime is 72648487. The next prime is 72648553. The reversal of 72648552 is 25584627.

It is a self number, because there is not a number n which added to its sum of digits gives 72648552.

It is not an unprimeable number, because it can be changed into a prime (72648553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142474 + ... + 142982.

It is an arithmetic number, because the mean of its divisors is an integer number (3002625).

Almost surely, 2^72648552 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 72648552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96084000).

72648552 is an abundant number, since it is smaller than the sum of its proper divisors (119519448).

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

72648552 is a wasteful number, since it uses less digits than its factorization.

72648552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 72648552 is about 8523.4119928583. The cubic root of 72648552 is about 417.2621461823.

The spelling of 72648552 in words is "seventy-two million, six hundred forty-eight thousand, five hundred fifty-two".