37268272 has 40 divisors (see below), whose sum is σ = 77802560. Its totient is φ = 17236800.

The previous prime is 37268269. The next prime is 37268279. The reversal of 37268272 is 27286273.

It is a happy number.

It is a super-3 number, since 3×37268272³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37268279) 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, 11647 + ... + 14497.

It is an arithmetic number, because the mean of its divisors is an integer number (1945064).

Almost surely, 2^37268272 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 37268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38901280).

37268272 is an abundant number, since it is smaller than the sum of its proper divisors (40534288).

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

37268272 is a wasteful number, since it uses less digits than its factorization.

37268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2915 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 37268272 is about 6104.7745249108. The cubic root of 37268272 is about 334.0255995295.

It can be divided in two parts, 372 and 68272, that added together give a square (68644 = 262²).

The spelling of 37268272 in words is "thirty-seven million, two hundred sixty-eight thousand, two hundred seventy-two".