36219072 has 112 divisors (see below), whose sum is σ = 101388672. Its totient is φ = 11397120.

The previous prime is 36219059. The next prime is 36219103. The reversal of 36219072 is 27091263.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338443 + ... + 338549.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 2^36219072 is an apocalyptic number.

36219072 is a gapful number since it is divisible by the number (32) 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 36219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694336).

36219072 is an abundant number, since it is smaller than the sum of its proper divisors (65169600).

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

36219072 is a wasteful number, since it uses less digits than its factorization.

36219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 36219072 is about 6018.2283107240. The cubic root of 36219072 is about 330.8611484558.

The spelling of 36219072 in words is "thirty-six million, two hundred nineteen thousand, seventy-two".