140364672 has 128 divisors (see below), whose sum is σ = 432153600. Its totient is φ = 39536640.

The previous prime is 140364671. The next prime is 140364673. The reversal of 140364672 is 276463041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140364671) and next prime (140364673).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×140364672² = 39404482291335168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140364671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212022 + ... + 212682.

It is an arithmetic number, because the mean of its divisors is an integer number (3376200).

Almost surely, 2^140364672 is an apocalyptic number.

140364672 is a gapful number since it is divisible by the number (12) 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 140364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216076800).

140364672 is an abundant number, since it is smaller than the sum of its proper divisors (291788928).

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

140364672 is an equidigital number, since it uses as much as digits as its factorization.

140364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 140364672 is about 11847.5597487415. The cubic root of 140364672 is about 519.6998662498.

The spelling of 140364672 in words is "one hundred forty million, three hundred sixty-four thousand, six hundred seventy-two".