72363924 has 36 divisors (see below), whose sum is σ = 183639456. Its totient is φ = 24026448.

The previous prime is 72363923. The next prime is 72363937. The reversal of 72363924 is 42936327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72363923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5647 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (5101096).

Almost surely, 2^72363924 is an apocalyptic number.

It is an amenable number.

72363924 is an abundant number, since it is smaller than the sum of its proper divisors (111275532).

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

72363924 is a wasteful number, since it uses less digits than its factorization.

72363924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7911 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72363924 is about 8506.6987721442. The cubic root of 72363924 is about 416.7165058961.

The spelling of 72363924 in words is "seventy-two million, three hundred sixty-three thousand, nine hundred twenty-four".