72601152 has 224 divisors, whose sum is σ = 230428800. Its totient is φ = 19955712.

The previous prime is 72601099. The next prime is 72601153. The reversal of 72601152 is 25110627.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72601153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230499 + ... + 1230557.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^72601152 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 72601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

72601152 is an abundant number, since it is smaller than the sum of its proper divisors (157827648).

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

72601152 is a wasteful number, since it uses less digits than its factorization.

72601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 72601152 is about 8520.6309625520. The cubic root of 72601152 is about 417.1713780104.

Adding to 72601152 its reverse (25110627), we get a palindrome (97711779).

The spelling of 72601152 in words is "seventy-two million, six hundred one thousand, one hundred fifty-two".