72540552 has 64 divisors (see below), whose sum is σ = 211691520. Its totient is φ = 20282688.

The previous prime is 72540491. The next prime is 72540569. The reversal of 72540552 is 25504527.

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, 3303 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (3307680).

Almost surely, 2^72540552 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 72540552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105845760).

72540552 is an abundant number, since it is smaller than the sum of its proper divisors (139150968).

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

72540552 is a wasteful number, since it uses less digits than its factorization.

72540552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 72540552 is about 8517.0741455033. The cubic root of 72540552 is about 417.0552750655.

The spelling of 72540552 in words is "seventy-two million, five hundred forty thousand, five hundred fifty-two".