72988608 has 112 divisors (see below), whose sum is σ = 240816384. Its totient is φ = 18954240.

The previous prime is 72988607. The next prime is 72988609. The reversal of 72988608 is 80688927.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72988607) and next prime (72988609).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72988607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12316 + ... + 17252.

Almost surely, 2^72988608 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 72988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120408192).

72988608 is an abundant number, since it is smaller than the sum of its proper divisors (167827776).

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

72988608 is a wasteful number, since it uses less digits than its factorization.

72988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 72988608 is about 8543.3370529320. The cubic root of 72988608 is about 417.9121783098.

The spelling of 72988608 in words is "seventy-two million, nine hundred eighty-eight thousand, six hundred eight".