72511488 has 156 divisors (see below), whose sum is σ = 240225648. Its totient is φ = 20643840.

The previous prime is 72511469. The next prime is 72511489. The reversal of 72511488 is 88411527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257908 + ... + 258188.

It is an arithmetic number, because the mean of its divisors is an integer number (1539908).

Almost surely, 2^72511488 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 72511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120112824).

72511488 is an abundant number, since it is smaller than the sum of its proper divisors (167714160).

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

72511488 is a wasteful number, since it uses less digits than its factorization.

72511488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 72511488 is about 8515.3677548301. The cubic root of 72511488 is about 416.9995686899. Note that the first 3 decimals are identical.

The spelling of 72511488 in words is "seventy-two million, five hundred eleven thousand, four hundred eighty-eight".