72504880 has 80 divisors (see below), whose sum is σ = 197201664. Its totient is φ = 24272640.

The previous prime is 72504869. The next prime is 72504917. The reversal of 72504880 is 8840527.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22575 + ... + 25585.

Almost surely, 2^72504880 is an apocalyptic number.

72504880 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 72504880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98600832).

72504880 is an abundant number, since it is smaller than the sum of its proper divisors (124696784).

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

72504880 is a wasteful number, since it uses less digits than its factorization.

72504880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 72504880 is about 8514.9797416083. The cubic root of 72504880 is about 416.9869011944.

The spelling of 72504880 in words is "seventy-two million, five hundred four thousand, eight hundred eighty".