36423072 has 216 divisors, whose sum is σ = 126044100. Its totient is φ = 9934848.

The previous prime is 36423067. The next prime is 36423091. The reversal of 36423072 is 27032463.

36423072 is a `hidden beast` number, since 364 + 230 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 853776 = 5964^2 + 924^2 .

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 35 ways as a sum of consecutive naturals, for example, 409204 + ... + 409292.

Almost surely, 2^36423072 is an apocalyptic number.

36423072 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 36423072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63022050).

36423072 is an abundant number, since it is smaller than the sum of its proper divisors (89621028).

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

36423072 is a wasteful number, since it uses less digits than its factorization.

36423072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 36423072 is about 6035.1530220865. The cubic root of 36423072 is about 331.4811657092.

It can be divided in two parts, 364 and 23072, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 36423072 in words is "thirty-six million, four hundred twenty-three thousand, seventy-two".