37740672 has 72 divisors (see below), whose sum is σ = 109206045. Its totient is φ = 12510720.

The previous prime is 37740667. The next prime is 37740673. The reversal of 37740672 is 27604773.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 14930496 = 4776^2 + 3864^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4344.

It is a super-3 number, since 3×37740672³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (37740673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208422 + ... + 208602.

Almost surely, 2^37740672 is an apocalyptic number.

37740672 is a gapful number since it is divisible by the number (32) 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 37740672

37740672 is an abundant number, since it is smaller than the sum of its proper divisors (71465373).

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

37740672 is an equidigital number, since it uses as much as digits as its factorization.

37740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 37740672 is about 6143.3437149487. The cubic root of 37740672 is about 335.4310097918.

The spelling of 37740672 in words is "thirty-seven million, seven hundred forty thousand, six hundred seventy-two".