72728480 has 144 divisors (see below), whose sum is σ = 198186912. Its totient is φ = 24998400.

The previous prime is 72728479. The next prime is 72728489. The reversal of 72728480 is 8482727.

It is a super-2 number, since 2×72728480² = 10578863606220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72728489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1691339 + ... + 1691381.

It is an arithmetic number, because the mean of its divisors is an integer number (1376298).

Almost surely, 2^72728480 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 72728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99093456).

72728480 is an abundant number, since it is smaller than the sum of its proper divisors (125458432).

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

72728480 is a wasteful number, since it uses less digits than its factorization.

72728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 72728480 is about 8528.0994365685. The cubic root of 72728480 is about 417.4151141561.

The spelling of 72728480 in words is "seventy-two million, seven hundred twenty-eight thousand, four hundred eighty".