72111536 has 120 divisors (see below), whose sum is σ = 176417280. Its totient is φ = 28377216.

The previous prime is 72111527. The next prime is 72111539. The reversal of 72111536 is 63511127.

It is not an unprimeable number, because it can be changed into a prime (72111539) 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 23 ways as a sum of consecutive naturals, for example, 700061 + ... + 700163.

It is an arithmetic number, because the mean of its divisors is an integer number (1470144).

Almost surely, 2^72111536 is an apocalyptic number.

72111536 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 72111536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88208640).

72111536 is an abundant number, since it is smaller than the sum of its proper divisors (104305744).

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

72111536 is a wasteful number, since it uses less digits than its factorization.

72111536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 72111536 is about 8491.8511527228. The cubic root of 72111536 is about 416.2314725105.

It can be divided in two parts, 721 and 11536, that multiplied together give a square (8317456 = 2884²).

The spelling of 72111536 in words is "seventy-two million, one hundred eleven thousand, five hundred thirty-six".