37290672 has 80 divisors (see below), whose sum is σ = 109978080. Its totient is φ = 12089088.

The previous prime is 37290647. The next prime is 37290697. The reversal of 37290672 is 27609273.

It is an interprime number because it is at equal distance from previous prime (37290647) and next prime (37290697).

It is a super-3 number, since 3×37290672³ (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14818 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (1374726).

Almost surely, 2^37290672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54989040).

37290672 is an abundant number, since it is smaller than the sum of its proper divisors (72687408).

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

37290672 is a wasteful number, since it uses less digits than its factorization.

37290672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 37290672 is about 6106.6088789114. The cubic root of 37290672 is about 334.0925078716.

The spelling of 37290672 in words is "thirty-seven million, two hundred ninety thousand, six hundred seventy-two".