40122072 has 96 divisors (see below), whose sum is σ = 115752000. Its totient is φ = 12519360.

The previous prime is 40122031. The next prime is 40122083. The reversal of 40122072 is 27022104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190047 + ... + 190257.

It is an arithmetic number, because the mean of its divisors is an integer number (1205750).

Almost surely, 2^40122072 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 40122072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57876000).

40122072 is an abundant number, since it is smaller than the sum of its proper divisors (75629928).

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

40122072 is a wasteful number, since it uses less digits than its factorization.

40122072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40122072 is about 6334.1986075588. The cubic root of 40122072 is about 342.3427363330.

Adding to 40122072 its reverse (27022104), we get a palindrome (67144176).

It can be divided in two parts, 4012 and 2072, that added together give a square (6084 = 78²).

The spelling of 40122072 in words is "forty million, one hundred twenty-two thousand, seventy-two".