40140072 has 96 divisors (see below), whose sum is σ = 126060480. Its totient is φ = 11301120.

The previous prime is 40140053. The next prime is 40140073. The reversal of 40140072 is 27004104.

It is a happy number.

It is a super-2 number, since 2×40140072² = 3222450760330368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40140073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36247 + ... + 37337.

It is an arithmetic number, because the mean of its divisors is an integer number (1313130).

Almost surely, 2^40140072 is an apocalyptic number.

40140072 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 40140072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63030240).

40140072 is an abundant number, since it is smaller than the sum of its proper divisors (85920408).

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

40140072 is a wasteful number, since it uses less digits than its factorization.

40140072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

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

The square root of 40140072 is about 6335.6193067450. The cubic root of 40140072 is about 342.3939238521.

Adding to 40140072 its reverse (27004104), we get a palindrome (67144176).

The spelling of 40140072 in words is "forty million, one hundred forty thousand, seventy-two".