72838324 has 72 divisors (see below), whose sum is σ = 149415840. Its totient is φ = 30955392.

The previous prime is 72838307. The next prime is 72838327. The reversal of 72838324 is 42383827.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72838327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680679 + ... + 680785.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^72838324 is an apocalyptic number.

It is an amenable number.

72838324 is an abundant number, since it is smaller than the sum of its proper divisors (76577516).

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

72838324 is a wasteful number, since it uses less digits than its factorization.

72838324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 72838324 is about 8534.5371286321. The cubic root of 72838324 is about 417.6251532952.

It can be divided in two parts, 728 and 38324, that multiplied together give a palindrome (27899872).

The spelling of 72838324 in words is "seventy-two million, eight hundred thirty-eight thousand, three hundred twenty-four".