72449988 has 72 divisors (see below), whose sum is σ = 193513152. Its totient is φ = 20967936.

The previous prime is 72449987. The next prime is 72449989. The reversal of 72449988 is 88994427.

It is an interprime number because it is at equal distance from previous prime (72449987) and next prime (72449989).

It is a super-2 number, since 2×72449988² = 10498001522400288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 72449988.

It is not an unprimeable number, because it can be changed into a prime (72449987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44281 + ... + 45887.

Almost surely, 2^72449988 is an apocalyptic number.

72449988 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72449988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96756576).

72449988 is an abundant number, since it is smaller than the sum of its proper divisors (121063164).

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

72449988 is a wasteful number, since it uses less digits than its factorization.

72449988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1642 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 72449988 is about 8511.7558705593. The cubic root of 72449988 is about 416.8816438023.

It can be divided in two parts, 72449 and 988, that added together give a palindrome (73437).

The spelling of 72449988 in words is "seventy-two million, four hundred forty-nine thousand, nine hundred eighty-eight".