37620072 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 10611648.

The previous prime is 37620071. The next prime is 37620091. The reversal of 37620072 is 27002673.

37620072 is a `hidden beast` number, since 37 + 620 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (37620071) 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 31 ways as a sum of consecutive naturals, for example, 210079 + ... + 210257.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^37620072 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 37620072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

37620072 is an abundant number, since it is smaller than the sum of its proper divisors (83339928).

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

37620072 is a wasteful number, since it uses less digits than its factorization.

37620072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 37620072 is about 6133.5203594673. The cubic root of 37620072 is about 335.0733395530.

The spelling of 37620072 in words is "thirty-seven million, six hundred twenty thousand, seventy-two".