72553008 has 160 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 20193280.

The previous prime is 72552947. The next prime is 72553037. The reversal of 72553008 is 80035527.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529516 + ... + 529652.

It is an arithmetic number, because the mean of its divisors is an integer number (1386072).

Almost surely, 2^72553008 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 72553008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

72553008 is an abundant number, since it is smaller than the sum of its proper divisors (149218512).

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

72553008 is a wasteful number, since it uses less digits than its factorization.

72553008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72553008 is about 8517.8053511453. The cubic root of 72553008 is about 417.0791446716.

The spelling of 72553008 in words is "seventy-two million, five hundred fifty-three thousand, eight".