72720480 has 192 divisors, whose sum is σ = 273466368. Its totient is φ = 15882240.

The previous prime is 72720437. The next prime is 72720497. The reversal of 72720480 is 8402727.

It is a super-2 number, since 2×72720480² = 10576536422860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 76810 + ... + 77750.

It is an arithmetic number, because the mean of its divisors is an integer number (1424304).

Almost surely, 2^72720480 is an apocalyptic number.

72720480 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 72720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136733184).

72720480 is an abundant number, since it is smaller than the sum of its proper divisors (200745888).

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

72720480 is a wasteful number, since it uses less digits than its factorization.

72720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 72720480 is about 8527.6303859865. The cubic root of 72720480 is about 417.3998086281.

The spelling of 72720480 in words is "seventy-two million, seven hundred twenty thousand, four hundred eighty".