36972516 has 48 divisors (see below), whose sum is σ = 99800064. Its totient is φ = 10434336.

The previous prime is 36972511. The next prime is 36972521. The reversal of 36972516 is 61527963.

It is an interprime number because it is at equal distance from previous prime (36972511) and next prime (36972521).

It is not an unprimeable number, because it can be changed into a prime (36972511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2^36972516 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 36972516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900032).

36972516 is an abundant number, since it is smaller than the sum of its proper divisors (62827548).

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

36972516 is a wasteful number, since it uses less digits than its factorization.

36972516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5398 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 36972516 is about 6080.5029397246. The cubic root of 36972516 is about 333.1396577133.

The spelling of 36972516 in words is "thirty-six million, nine hundred seventy-two thousand, five hundred sixteen".