72124880 has 80 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 26910720.

The previous prime is 72124841. The next prime is 72124901. The reversal of 72124880 is 8842127.

It can be written as a sum of positive squares in 8 ways, for example, as 10816 + 72114064 = 104^2 + 8492^2 .

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

It is a congruent number.

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, 246014 + ... + 246306.

Almost surely, 2^72124880 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 72124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

72124880 is an abundant number, since it is smaller than the sum of its proper divisors (107019904).

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

72124880 is a wasteful number, since it uses less digits than its factorization.

72124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 72124880 is about 8492.6368107909. The cubic root of 72124880 is about 416.2571450105.

The spelling of 72124880 in words is "seventy-two million, one hundred twenty-four thousand, eight hundred eighty".