72503424 has 256 divisors, whose sum is σ = 254265600. Its totient is φ = 20155392.

The previous prime is 72503423. The next prime is 72503437. The reversal of 72503424 is 42430527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (72503423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959534 + ... + 1959570.

It is an arithmetic number, because the mean of its divisors is an integer number (993225).

Almost surely, 2^72503424 is an apocalyptic number.

72503424 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 72503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127132800).

72503424 is an abundant number, since it is smaller than the sum of its proper divisors (181762176).

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

72503424 is an frugal number, since it uses more digits than its factorization.

72503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 72503424 is about 8514.8942447925. The cubic root of 72503424 is about 416.9841099478.

It can be divided in two parts, 72503 and 424, that added together give a palindrome (72927).

The spelling of 72503424 in words is "seventy-two million, five hundred three thousand, four hundred twenty-four".