40712000 has 112 divisors (see below), whose sum is σ = 115385088. Its totient is φ = 13939200.

The previous prime is 40711997. The next prime is 40712029. The reversal of 40712000 is 21704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55637 + ... + 56363.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^40712000 is an apocalyptic number.

40712000 is a gapful number since it is divisible by the number (40) 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 40712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

40712000 is an abundant number, since it is smaller than the sum of its proper divisors (74673088).

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

40712000 is an equidigital number, since it uses as much as digits as its factorization.

40712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 40712000 is about 6380.5955834859. The cubic root of 40712000 is about 344.0124387065.

Adding to 40712000 its reverse (21704), we get a palindrome (40733704).

The spelling of 40712000 in words is "forty million, seven hundred twelve thousand".