72511912 has 48 divisors (see below), whose sum is σ = 150654420. Its totient is φ = 32693760.

The previous prime is 72511877. The next prime is 72511913. The reversal of 72511912 is 21911527.

It can be written as a sum of positive squares in 2 ways, for example, as 72488196 + 23716 = 8514^2 + 154^2 .

It is not an unprimeable number, because it can be changed into a prime (72511913) 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 11 ways as a sum of consecutive naturals, for example, 167248 + ... + 167680.

Almost surely, 2^72511912 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 72511912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75327210).

72511912 is an abundant number, since it is smaller than the sum of its proper divisors (78142508).

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

72511912 is a wasteful number, since it uses less digits than its factorization.

72511912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its digits is 1260, while the sum is 28.

The square root of 72511912 is about 8515.3926509586. The cubic root of 72511912 is about 417.0003814691. Note that the first 3 decimals are identical.

The spelling of 72511912 in words is "seventy-two million, five hundred eleven thousand, nine hundred twelve".