37728540 has 72 divisors (see below), whose sum is σ = 115053120. Its totient is φ = 10007424.

The previous prime is 37728529. The next prime is 37728541. The reversal of 37728540 is 4582773.

37728540 is a `hidden beast` number, since 377 + 285 + 4 + 0 = 666.

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 = 37728495 and 37728504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37728541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42582 + ... + 43458.

It is an arithmetic number, because the mean of its divisors is an integer number (1597960).

Almost surely, 2^37728540 is an apocalyptic number.

37728540 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 37728540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57526560).

37728540 is an abundant number, since it is smaller than the sum of its proper divisors (77324580).

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

37728540 is a wasteful number, since it uses less digits than its factorization.

37728540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 37728540 is about 6142.3562254236. The cubic root of 37728540 is about 335.3950637339.

The spelling of 37728540 in words is "thirty-seven million, seven hundred twenty-eight thousand, five hundred forty".