36246672 has 180 divisors, whose sum is σ = 129005136. Its totient is φ = 9394560.

The previous prime is 36246667. The next prime is 36246673. The reversal of 36246672 is 27664263.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36246673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77383 + ... + 77849.

Almost surely, 2^36246672 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 36246672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64502568).

36246672 is an abundant number, since it is smaller than the sum of its proper divisors (92758464).

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

36246672 is a wasteful number, since it uses less digits than its factorization.

36246672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 36246672 is about 6020.5209076956. The cubic root of 36246672 is about 330.9451690984.

It can be divided in two parts, 3624 and 6672, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 36246672 in words is "thirty-six million, two hundred forty-six thousand, six hundred seventy-two".