72488000 has 224 divisors, whose sum is σ = 209690208. Its totient is φ = 24576000.

The previous prime is 72487979. The next prime is 72488029. The reversal of 72488000 is 88427.

It can be written as a sum of positive squares in 16 ways, for example, as 68293696 + 4194304 = 8264^2 + 2048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767980 + ... + 1768020.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 2^72488000 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 72488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104845104).

72488000 is an abundant number, since it is smaller than the sum of its proper divisors (137202208).

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

72488000 is a wasteful number, since it uses less digits than its factorization.

72488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 72488000 is about 8513.9884895388. The cubic root of 72488000 is about 416.9545388430.

The spelling of 72488000 in words is "seventy-two million, four hundred eighty-eight thousand".