36712416 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 10796544.

The previous prime is 36712397. The next prime is 36712441. The reversal of 36712416 is 61421763.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 28065 + ... + 29343.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^36712416 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 36712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

36712416 is an abundant number, since it is smaller than the sum of its proper divisors (71667744).

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

36712416 is a wasteful number, since it uses less digits than its factorization.

36712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36712416 is about 6059.0771574556. The cubic root of 36712416 is about 332.3566110584.

It can be divided in two parts, 36712 and 416, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36712416 in words is "thirty-six million, seven hundred twelve thousand, four hundred sixteen".