42178752 has 224 divisors, whose sum is σ = 155082240. Its totient is φ = 10920960.

The previous prime is 42178739. The next prime is 42178769. The reversal of 42178752 is 25787124.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 132898 + ... + 133214.

Almost surely, 2^42178752 is an apocalyptic number.

42178752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42178752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77541120).

42178752 is an abundant number, since it is smaller than the sum of its proper divisors (112903488).

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

42178752 is a wasteful number, since it uses less digits than its factorization.

42178752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42178752 is about 6494.5170721155. The cubic root of 42178752 is about 348.0950988611.

The spelling of 42178752 in words is "forty-two million, one hundred seventy-eight thousand, seven hundred fifty-two".