72683424 has 72 divisors (see below), whose sum is σ = 225493632. Its totient is φ = 22024320.

The previous prime is 72683423. The next prime is 72683461. The reversal of 72683424 is 42438627.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (72683423) 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, 8304 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (3131856).

Almost surely, 2^72683424 is an apocalyptic number.

It is an amenable number.

72683424 is an abundant number, since it is smaller than the sum of its proper divisors (152810208).

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

72683424 is a wasteful number, since it uses less digits than its factorization.

72683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22959 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72683424 is about 8525.4574070838. The cubic root of 72683424 is about 417.3288987769.

The spelling of 72683424 in words is "seventy-two million, six hundred eighty-three thousand, four hundred twenty-four".