37872864 has 72 divisors (see below), whose sum is σ = 108795960. Its totient is φ = 12496128.

The previous prime is 37872853. The next prime is 37872883. The reversal of 37872864 is 46827873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30202 + ... + 31430.

It is an arithmetic number, because the mean of its divisors is an integer number (1511055).

Almost surely, 2^37872864 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 37872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397980).

37872864 is an abundant number, since it is smaller than the sum of its proper divisors (70923096).

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

37872864 is a wasteful number, since it uses less digits than its factorization.

37872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 37872864 is about 6154.0932719614. The cubic root of 37872864 is about 335.8221848263.

The spelling of 37872864 in words is "thirty-seven million, eight hundred seventy-two thousand, eight hundred sixty-four".