37037472 has 48 divisors (see below), whose sum is σ = 97776000. Its totient is φ = 12275712.

The previous prime is 37037453. The next prime is 37037477. The reversal of 37037472 is 27473073.

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

It is not an unprimeable number, because it can be changed into a prime (37037477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17529 + ... + 19527.

It is an arithmetic number, because the mean of its divisors is an integer number (2037000).

Almost surely, 2^37037472 is an apocalyptic number.

37037472 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 37037472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888000).

37037472 is an abundant number, since it is smaller than the sum of its proper divisors (60738528).

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

37037472 is a wasteful number, since it uses less digits than its factorization.

37037472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The square root of 37037472 is about 6085.8419302509. The cubic root of 37037472 is about 333.3346382171.

It can be divided in two parts, 3703 and 7472, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 37037472 in words is "thirty-seven million, thirty-seven thousand, four hundred seventy-two".