72203424 has 48 divisors (see below), whose sum is σ = 192148992. Its totient is φ = 23735808.

The previous prime is 72203389. The next prime is 72203429. The reversal of 72203424 is 42430227.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72203394 and 72203403.

It is not an unprimeable number, because it can be changed into a prime (72203429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857 + ... + 12159.

It is an arithmetic number, because the mean of its divisors is an integer number (4003104).

Almost surely, 2^72203424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96074496).

72203424 is an abundant number, since it is smaller than the sum of its proper divisors (119945568).

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

72203424 is a wasteful number, since it uses less digits than its factorization.

72203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72203424 is about 8497.2597936041. The cubic root of 72203424 is about 416.4081915484.

It can be divided in two parts, 72203 and 424, that added together give a palindrome (72627).

The spelling of 72203424 in words is "seventy-two million, two hundred three thousand, four hundred twenty-four".