36873120 has 48 divisors (see below), whose sum is σ = 116151840. Its totient is φ = 9832704.

The previous prime is 36873113. The next prime is 36873149. The reversal of 36873120 is 2137863.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37930 + ... + 38889.

It is an arithmetic number, because the mean of its divisors is an integer number (2419830).

Almost surely, 2^36873120 is an apocalyptic number.

36873120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36873120 is an abundant number, since it is smaller than the sum of its proper divisors (79278720).

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

36873120 is a wasteful number, since it uses less digits than its factorization.

36873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76837 (or 76829 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 36873120 is about 6072.3241020222. The cubic root of 36873120 is about 332.8408549758.

The spelling of 36873120 in words is "thirty-six million, eight hundred seventy-three thousand, one hundred twenty".