36358272 has 96 divisors (see below), whose sum is σ = 107578380. Its totient is φ = 11778048.

The previous prime is 36358271. The next prime is 36358277. The reversal of 36358272 is 27285363.

36358272 is a `hidden beast` number, since 3 + 6 + 3 + 582 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 69696 = 6024^2 + 264^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (36358271) 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, 42198 + ... + 43050.

Almost surely, 2^36358272 is an apocalyptic number.

36358272 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 36358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53789190).

36358272 is an abundant number, since it is smaller than the sum of its proper divisors (71220108).

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

36358272 is a wasteful number, since it uses less digits than its factorization.

36358272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 36358272 is about 6029.7820856147. The cubic root of 36358272 is about 331.2844705080.

The spelling of 36358272 in words is "thirty-six million, three hundred fifty-eight thousand, two hundred seventy-two".