72460080 has 240 divisors, whose sum is σ = 303623424. Its totient is φ = 15045120.

The previous prime is 72460061. The next prime is 72460093. The reversal of 72460080 is 8006427.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 54787 + ... + 56093.

Almost surely, 2^72460080 is an apocalyptic number.

72460080 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 72460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151811712).

72460080 is an abundant number, since it is smaller than the sum of its proper divisors (231163344).

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

72460080 is a wasteful number, since it uses less digits than its factorization.

72460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72460080 is about 8512.3486770691. The cubic root of 72460080 is about 416.9009995645.

The spelling of 72460080 in words is "seventy-two million, four hundred sixty thousand, eighty".