37728042 has 48 divisors (see below), whose sum is σ = 83719776. Its totient is φ = 11325600.

The previous prime is 37728037. The next prime is 37728107. The reversal of 37728042 is 24082773.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 37727994 and 37728012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113817 + ... + 114147.

It is an arithmetic number, because the mean of its divisors is an integer number (1744162).

Almost surely, 2^37728042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37728042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41859888).

37728042 is an abundant number, since it is smaller than the sum of its proper divisors (45991734).

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

37728042 is a wasteful number, since it uses less digits than its factorization.

37728042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 37728042 is about 6142.3156871004. The cubic root of 37728042 is about 335.3935880387.

The spelling of 37728042 in words is "thirty-seven million, seven hundred twenty-eight thousand, forty-two".