36192416 has 72 divisors (see below), whose sum is σ = 81322164. Its totient is φ = 15759360.

The previous prime is 36192413. The next prime is 36192419. The reversal of 36192416 is 61429163.

It is an interprime number because it is at equal distance from previous prime (36192413) and next prime (36192419).

It can be written as a sum of positive squares in 2 ways, for example, as 36048016 + 144400 = 6004^2 + 380^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36192413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150056 + ... + 150296.

Almost surely, 2^36192416 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 36192416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40661082).

36192416 is an abundant number, since it is smaller than the sum of its proper divisors (45129748).

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

36192416 is a wasteful number, since it uses less digits than its factorization.

36192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 36192416 is about 6016.0132978576. The cubic root of 36192416 is about 330.7799610337.

It can be divided in two parts, 361 and 92416, that multiplied together give a 4-th power (33362176 = 76⁴).

The spelling of 36192416 in words is "thirty-six million, one hundred ninety-two thousand, four hundred sixteen".