37440672 has 48 divisors (see below), whose sum is σ = 99765792. Its totient is φ = 12291840.

The previous prime is 37440671. The next prime is 37440679. The reversal of 37440672 is 27604473.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×37440672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37440671) 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 7 ways as a sum of consecutive naturals, for example, 3522 + ... + 9342.

It is an arithmetic number, because the mean of its divisors is an integer number (2078454).

Almost surely, 2^37440672 is an apocalyptic number.

37440672 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 37440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49882896).

37440672 is an abundant number, since it is smaller than the sum of its proper divisors (62325120).

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

37440672 is a wasteful number, since it uses less digits than its factorization.

37440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 37440672 is about 6118.8783285828. The cubic root of 37440672 is about 334.5398657914.

The spelling of 37440672 in words is "thirty-seven million, four hundred forty thousand, six hundred seventy-two".