40072128 has 56 divisors (see below), whose sum is σ = 112270032. Its totient is φ = 12570624.

The previous prime is 40072117. The next prime is 40072139. The reversal of 40072128 is 82127004.

It is an interprime number because it is at equal distance from previous prime (40072117) and next prime (40072139).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40072098 and 40072107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2875 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (2004822).

Almost surely, 2^40072128 is an apocalyptic number.

40072128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40072128 is an abundant number, since it is smaller than the sum of its proper divisors (72197904).

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

40072128 is a wasteful number, since it uses less digits than its factorization.

40072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 40072128 is about 6330.2549711682. The cubic root of 40072128 is about 342.2006278110.

The spelling of 40072128 in words is "forty million, seventy-two thousand, one hundred twenty-eight".