72524160 has 160 divisors (see below), whose sum is σ = 259182000. Its totient is φ = 19325952.

The previous prime is 72524093. The next prime is 72524183. The reversal of 72524160 is 6142527.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51141 + ... + 52539.

Almost surely, 2^72524160 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 72524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591000).

72524160 is an abundant number, since it is smaller than the sum of its proper divisors (186657840).

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

72524160 is a wasteful number, since it uses less digits than its factorization.

72524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72524160 is about 8516.1117888388. Note that the first 3 decimals coincide. The cubic root of 72524160 is about 417.0238586835.

Adding to 72524160 its reverse (6142527), we get a palindrome (78666687).

The spelling of 72524160 in words is "seventy-two million, five hundred twenty-four thousand, one hundred sixty".