72477008 has 40 divisors (see below), whose sum is σ = 148085760. Its totient is φ = 34312320.

The previous prime is 72476993. The next prime is 72477017. The reversal of 72477008 is 80077427.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21758 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (3702144).

Almost surely, 2^72477008 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 72477008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74042880).

72477008 is an abundant number, since it is smaller than the sum of its proper divisors (75608752).

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

72477008 is a wasteful number, since it uses less digits than its factorization.

72477008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 72477008 is about 8513.3429391750. The cubic root of 72477008 is about 416.9334622696.

The spelling of 72477008 in words is "seventy-two million, four hundred seventy-seven thousand, eight".