72553518 has 48 divisors (see below), whose sum is σ = 170535456. Its totient is φ = 22202880.

The previous prime is 72553517. The next prime is 72553519. The reversal of 72553518 is 81535527.

It is an interprime number because it is at equal distance from previous prime (72553517) and next prime (72553519).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72553511) 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 23 ways as a sum of consecutive naturals, for example, 9655 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (3552822).

Almost surely, 2^72553518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72553518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85267728).

72553518 is an abundant number, since it is smaller than the sum of its proper divisors (97981938).

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

72553518 is a wasteful number, since it uses less digits than its factorization.

72553518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5846 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 72553518 is about 8517.8352883817. The cubic root of 72553518 is about 417.0801219335.

Subtracting 72553518 from its reverse (81535527), we obtain a square (8982009 = 2997²).

The spelling of 72553518 in words is "seventy-two million, five hundred fifty-three thousand, five hundred eighteen".