40195072 has 44 divisors (see below), whose sum is σ = 85114260. Its totient is φ = 18907136.

The previous prime is 40195069. The next prime is 40195087. The reversal of 40195072 is 27059104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32444416 + 7750656 = 5696^2 + 2784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40195072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16254 + ... + 18562.

It is an arithmetic number, because the mean of its divisors is an integer number (1934415).

Almost surely, 2^40195072 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 40195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42557130).

40195072 is an abundant number, since it is smaller than the sum of its proper divisors (44919188).

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

40195072 is a wasteful number, since it uses less digits than its factorization.

40195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 40195072 is about 6339.9583594847. The cubic root of 40195072 is about 342.5502354077.

It can be divided in two parts, 40 and 195072, that added together give a cube (195112 = 58³).

The spelling of 40195072 in words is "forty million, one hundred ninety-five thousand, seventy-two".