72488640 has 336 divisors, whose sum is σ = 283537152. Its totient is φ = 15611904.

The previous prime is 72488623. The next prime is 72488651. The reversal of 72488640 is 4688427.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081887 + ... + 1081953.

Almost surely, 2^72488640 is an apocalyptic number.

72488640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141768576).

72488640 is an abundant number, since it is smaller than the sum of its proper divisors (211048512).

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

72488640 is a wasteful number, since it uses less digits than its factorization.

72488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 72488640 is about 8514.0260746606. The cubic root of 72488640 is about 416.9557659432.

The spelling of 72488640 in words is "seventy-two million, four hundred eighty-eight thousand, six hundred forty".