72131136 has 336 divisors, whose sum is σ = 262688832. Its totient is φ = 17203200.

The previous prime is 72131117. The next prime is 72131159. The reversal of 72131136 is 63113127.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759276 + ... + 1759316.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 2^72131136 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 72131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131344416).

72131136 is an abundant number, since it is smaller than the sum of its proper divisors (190557696).

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

72131136 is a wasteful number, since it uses less digits than its factorization.

72131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 72131136 is about 8493.0051218635. The cubic root of 72131136 is about 416.2691798285.

Subtracting from 72131136 its reverse (63113127), we obtain a square (9018009 = 3003²).

The spelling of 72131136 in words is "seventy-two million, one hundred thirty-one thousand, one hundred thirty-six".