72251760 has 160 divisors (see below), whose sum is σ = 264983040. Its totient is φ = 15934464.

The previous prime is 72251747. The next prime is 72251771. The reversal of 72251760 is 6715227.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47979 + ... + 49461.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^72251760 is an apocalyptic number.

72251760 is a gapful number since it is divisible by the number (70) 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 72251760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132491520).

72251760 is an abundant number, since it is smaller than the sum of its proper divisors (192731280).

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

72251760 is a wasteful number, since it uses less digits than its factorization.

72251760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72251760 is about 8500.1035287813. The cubic root of 72251760 is about 416.5010911899.

Adding to 72251760 its reverse (6715227), we get a palindrome (78966987).

The spelling of 72251760 in words is "seventy-two million, two hundred fifty-one thousand, seven hundred sixty".