36126792 has 72 divisors (see below), whose sum is σ = 105984450. Its totient is φ = 11112192.

The previous prime is 36126757. The next prime is 36126817. The reversal of 36126792 is 29762163.

It can be written as a sum of positive squares in 3 ways, for example, as 6380676 + 29746116 = 2526^2 + 5454^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×36126792² = 2610290200422528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10684 + ... + 13652.

Almost surely, 2^36126792 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 36126792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52992225).

36126792 is an abundant number, since it is smaller than the sum of its proper divisors (69857658).

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

36126792 is a wasteful number, since it uses less digits than its factorization.

36126792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2987 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 36126792 is about 6010.5567129842. The cubic root of 36126792 is about 330.5799169402.

It can be divided in two parts, 3612 and 6792, that added together give a square (10404 = 102²).

The spelling of 36126792 in words is "thirty-six million, one hundred twenty-six thousand, seven hundred ninety-two".