72251824 has 60 divisors (see below), whose sum is σ = 149728512. Its totient is φ = 33747840.

The previous prime is 72251821. The next prime is 72251827. The reversal of 72251824 is 42815227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72251821) and next prime (72251827).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (72251821) 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 11 ways as a sum of consecutive naturals, for example, 568849 + ... + 568975.

Almost surely, 2^72251824 is an apocalyptic number.

72251824 is a gapful number since it is divisible by the number (74) 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 72251824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74864256).

72251824 is an abundant number, since it is smaller than the sum of its proper divisors (77476688).

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

72251824 is a wasteful number, since it uses less digits than its factorization.

72251824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 197 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The square root of 72251824 is about 8500.1072934405. The cubic root of 72251824 is about 416.5012141676.

The spelling of 72251824 in words is "seventy-two million, two hundred fifty-one thousand, eight hundred twenty-four".