37225440 has 192 divisors, whose sum is σ = 149022720. Its totient is φ = 8501760.

The previous prime is 37225439. The next prime is 37225459. The reversal of 37225440 is 4452273.

37225440 is a `hidden beast` number, since 372 + 254 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29625 + ... + 30855.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 2^37225440 is an apocalyptic number.

37225440 is a gapful number since it is divisible by the number (30) 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 37225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

37225440 is an abundant number, since it is smaller than the sum of its proper divisors (111797280).

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

37225440 is a wasteful number, since it uses less digits than its factorization.

37225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 37225440 is about 6101.2654425127. The cubic root of 37225440 is about 333.8975865382.

The spelling of 37225440 in words is "thirty-seven million, two hundred twenty-five thousand, four hundred forty".