37625742 has 64 divisors (see below), whose sum is σ = 104256000. Its totient is φ = 9771840.

The previous prime is 37625717. The next prime is 37625759. The reversal of 37625742 is 24752673.

It is a happy number.

It is a super-2 number, since 2×37625742² = 2831392922101128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 37625697 and 37625706.

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, 367 + ... + 8682.

It is an arithmetic number, because the mean of its divisors is an integer number (1629000).

Almost surely, 2^37625742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37625742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52128000).

37625742 is an abundant number, since it is smaller than the sum of its proper divisors (66630258).

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

37625742 is a wasteful number, since it uses less digits than its factorization.

37625742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9072 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 37625742 is about 6133.9825562191. The cubic root of 37625742 is about 335.0901725032.

The spelling of 37625742 in words is "thirty-seven million, six hundred twenty-five thousand, seven hundred forty-two".