72573408 has 192 divisors, whose sum is σ = 230610240. Its totient is φ = 22394880.

The previous prime is 72573401. The next prime is 72573409. The reversal of 72573408 is 80437527.

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 (72573401) 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 31 ways as a sum of consecutive naturals, for example, 1189698 + ... + 1189758.

It is an arithmetic number, because the mean of its divisors is an integer number (1201095).

Almost surely, 2^72573408 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 72573408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305120).

72573408 is an abundant number, since it is smaller than the sum of its proper divisors (158036832).

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

72573408 is an equidigital number, since it uses as much as digits as its factorization.

72573408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72573408 is about 8519.0027585393. The cubic root of 72573408 is about 417.1182315749.

The spelling of 72573408 in words is "seventy-two million, five hundred seventy-three thousand, four hundred eight".