36872640 has 336 divisors, whose sum is σ = 152156160. Its totient is φ = 8017920.

The previous prime is 36872623. The next prime is 36872663. The reversal of 36872640 is 4627863.

36872640 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 36872595 and 36872604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624931 + ... + 624989.

Almost surely, 2^36872640 is an apocalyptic number.

36872640 is a gapful number since it is divisible by the number (30) 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 36872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

36872640 is an abundant number, since it is smaller than the sum of its proper divisors (115283520).

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

36872640 is a wasteful number, since it uses less digits than its factorization.

36872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36872640 is about 6072.2845783115. The cubic root of 36872640 is about 332.8394107050.

The spelling of 36872640 in words is "thirty-six million, eight hundred seventy-two thousand, six hundred forty".