72251088 has 240 divisors, whose sum is σ = 249359040. Its totient is φ = 17805312.

The previous prime is 72251087. The next prime is 72251089. The reversal of 72251088 is 88015227.

It is an interprime number because it is at equal distance from previous prime (72251087) and next prime (72251089).

It is a super-3 number, since 3×72251088³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72251087) 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 47 ways as a sum of consecutive naturals, for example, 519723 + ... + 519861.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^72251088 is an apocalyptic number.

72251088 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 72251088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

72251088 is an abundant number, since it is smaller than the sum of its proper divisors (177107952).

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

72251088 is a wasteful number, since it uses less digits than its factorization.

72251088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 72251088 is about 8500.0639997591. The cubic root of 72251088 is about 416.4997999199.

The spelling of 72251088 in words is "seventy-two million, two hundred fifty-one thousand, eighty-eight".