29072142 has 64 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 8288640.

The previous prime is 29072137. The next prime is 29072149. The reversal of 29072142 is 24127092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29072149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8659 + ... + 11537.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^29072142 is an apocalyptic number.

29072142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29072142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

29072142 is an abundant number, since it is smaller than the sum of its proper divisors (45577458).

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

29072142 is a wasteful number, since it uses less digits than its factorization.

29072142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 29072142 is about 5391.8588631380. The cubic root of 29072142 is about 307.4862337680.

It can be divided in two parts, 2 and 9072142, that added together give a square (9072144 = 3012²).

The spelling of 29072142 in words is "twenty-nine million, seventy-two thousand, one hundred forty-two".