40078752 has 192 divisors, whose sum is σ = 131281920. Its totient is φ = 10450944.

The previous prime is 40078729. The next prime is 40078781. The reversal of 40078752 is 25787004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 548988 + ... + 549060.

It is an arithmetic number, because the mean of its divisors is an integer number (683760).

Almost surely, 2^40078752 is an apocalyptic number.

40078752 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 40078752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65640960).

40078752 is an abundant number, since it is smaller than the sum of its proper divisors (91203168).

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

40078752 is a wasteful number, since it uses less digits than its factorization.

40078752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 40078752 is about 6330.7781512228. The cubic root of 40078752 is about 342.2194822466.

The spelling of 40078752 in words is "forty million, seventy-eight thousand, seven hundred fifty-two".