36963072 has 108 divisors (see below), whose sum is σ = 108732624. Its totient is φ = 12072960.

The previous prime is 36963053. The next prime is 36963079. The reversal of 36963072 is 27036963.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36963079) 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, 140413 + ... + 140675.

Almost surely, 2^36963072 is an apocalyptic number.

36963072 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 36963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54366312).

36963072 is an abundant number, since it is smaller than the sum of its proper divisors (71769552).

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

36963072 is a wasteful number, since it uses less digits than its factorization.

36963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36963072 is about 6079.7263096294. The cubic root of 36963072 is about 333.1112903458. Note that the first 3 decimals are identical.

The spelling of 36963072 in words is "thirty-six million, nine hundred sixty-three thousand, seventy-two".