36721072 has 40 divisors (see below), whose sum is σ = 75392000. Its totient is φ = 17278272.

The previous prime is 36721067. The next prime is 36721073. The reversal of 36721072 is 27012763.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36721072.

It is not an unprimeable number, because it can be changed into a prime (36721073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60193 + ... + 60799.

It is an arithmetic number, because the mean of its divisors is an integer number (1884800).

Almost surely, 2^36721072 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 36721072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37696000).

36721072 is an abundant number, since it is smaller than the sum of its proper divisors (38670928).

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

36721072 is a wasteful number, since it uses less digits than its factorization.

36721072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 36721072 is about 6059.7914155522. The cubic root of 36721072 is about 332.3827298584.

The spelling of 36721072 in words is "thirty-six million, seven hundred twenty-one thousand, seventy-two".