140013972 has 288 divisors, whose sum is σ = 471744000. Its totient is φ = 34771968.

The previous prime is 140013953. The next prime is 140013997. The reversal of 140013972 is 279310041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4828054 + ... + 4828082.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^140013972 is an apocalyptic number.

140013972 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 140013972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

140013972 is an abundant number, since it is smaller than the sum of its proper divisors (331730028).

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

140013972 is a wasteful number, since it uses less digits than its factorization.

140013972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 140013972 is about 11832.7499762312. The cubic root of 140013972 is about 519.2666833075.

The spelling of 140013972 in words is "one hundred forty million, thirteen thousand, nine hundred seventy-two".