37972152 has 112 divisors (see below), whose sum is σ = 113322240. Its totient is φ = 11881728.

The previous prime is 37972141. The next prime is 37972157. The reversal of 37972152 is 25127973.

It is a super-2 number, since 2×37972152² = 2883768655022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37972157) 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 27 ways as a sum of consecutive naturals, for example, 98953 + ... + 99335.

Almost surely, 2^37972152 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 37972152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56661120).

37972152 is an abundant number, since it is smaller than the sum of its proper divisors (75350088).

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

37972152 is a wasteful number, since it uses less digits than its factorization.

37972152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 37972152 is about 6162.1548179188. The cubic root of 37972152 is about 336.1153940386.

The spelling of 37972152 in words is "thirty-seven million, nine hundred seventy-two thousand, one hundred fifty-two".