36372672 has 224 divisors, whose sum is σ = 127447040. Its totient is φ = 9953280.

The previous prime is 36372659. The next prime is 36372691. The reversal of 36372672 is 27627363.

It is a tau number, because it is divible by the number of its divisors (224).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374928 + ... + 375024.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 2^36372672 is an apocalyptic number.

36372672 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 36372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63723520).

36372672 is an abundant number, since it is smaller than the sum of its proper divisors (91074368).

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

36372672 is a wasteful number, since it uses less digits than its factorization.

36372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 36372672 is about 6030.9760404100. The cubic root of 36372672 is about 331.3282007373.

The spelling of 36372672 in words is "thirty-six million, three hundred seventy-two thousand, six hundred seventy-two".