72657480 has 128 divisors (see below), whose sum is σ = 253025280. Its totient is φ = 16346880.

The previous prime is 72657467. The next prime is 72657491. The reversal of 72657480 is 8475627.

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, 55635 + ... + 56925.

It is an arithmetic number, because the mean of its divisors is an integer number (1976760).

Almost surely, 2^72657480 is an apocalyptic number.

72657480 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 72657480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512640).

72657480 is an abundant number, since it is smaller than the sum of its proper divisors (180367800).

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

72657480 is a wasteful number, since it uses less digits than its factorization.

72657480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72657480 is about 8523.9357106914. The cubic root of 72657480 is about 417.2792383507.

It can be divided in two parts, 72657 and 480, that added together give a palindrome (73137).

The spelling of 72657480 in words is "seventy-two million, six hundred fifty-seven thousand, four hundred eighty".