37242720 has 192 divisors, whose sum is σ = 134447040. Its totient is φ = 9621504.

The previous prime is 37242713. The next prime is 37242721. The reversal of 37242720 is 2724273.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37242721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159724 + ... + 159956.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^37242720 is an apocalyptic number.

37242720 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 37242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

37242720 is an abundant number, since it is smaller than the sum of its proper divisors (97204320).

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

37242720 is a wasteful number, since it uses less digits than its factorization.

37242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 37242720 is about 6102.6813778863. The cubic root of 37242720 is about 333.9492434853.

Adding to 37242720 its reverse (2724273), we get a palindrome (39966993).

The spelling of 37242720 in words is "thirty-seven million, two hundred forty-two thousand, seven hundred twenty".