37972458 has 48 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 11525760.

The previous prime is 37972447. The next prime is 37972463. The reversal of 37972458 is 85427973.

37972458 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7485 + ... + 11487.

It is an arithmetic number, because the mean of its divisors is an integer number (1873872).

Almost surely, 2^37972458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37972458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928).

37972458 is an abundant number, since it is smaller than the sum of its proper divisors (51973398).

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

37972458 is a wasteful number, since it uses less digits than its factorization.

37972458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4056 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 37972458 is about 6162.1796468457. The cubic root of 37972458 is about 336.1162969023.

The spelling of 37972458 in words is "thirty-seven million, nine hundred seventy-two thousand, four hundred fifty-eight".