40174272 has 112 divisors (see below), whose sum is σ = 120213120. Its totient is φ = 13153536.

The previous prime is 40174271. The next prime is 40174273. The reversal of 40174272 is 27247104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40174271) and next prime (40174273).

It is a super-2 number, since 2×40174272² = 3227944261459968, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (40174271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115603 + ... + 115949.

Almost surely, 2^40174272 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 40174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60106560).

40174272 is an abundant number, since it is smaller than the sum of its proper divisors (80038848).

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

40174272 is a wasteful number, since it uses less digits than its factorization.

40174272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 40174272 is about 6338.3177578913. The cubic root of 40174272 is about 342.4911379951.

The spelling of 40174272 in words is "forty million, one hundred seventy-four thousand, two hundred seventy-two".