72511296 has 224 divisors, whose sum is σ = 238963200. Its totient is φ = 19077120.

The previous prime is 72511259. The next prime is 72511331. The reversal of 72511296 is 69211527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 521595 + ... + 521733.

It is an arithmetic number, because the mean of its divisors is an integer number (1066800).

Almost surely, 2^72511296 is an apocalyptic number.

72511296 is a gapful number since it is divisible by the number (76) 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 72511296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119481600).

72511296 is an abundant number, since it is smaller than the sum of its proper divisors (166451904).

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

72511296 is a wasteful number, since it uses less digits than its factorization.

72511296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 72511296 is about 8515.3564810876. The cubic root of 72511296 is about 416.9992006380. Note that the first 3 decimals are identical.

It can be divided in two parts, 725 and 11296, that added together give a palindrome (12021).

The spelling of 72511296 in words is "seventy-two million, five hundred eleven thousand, two hundred ninety-six".