29139792 has 80 divisors (see below), whose sum is σ = 82822080. Its totient is φ = 8755200.

The previous prime is 29139779. The next prime is 29139793. The reversal of 29139792 is 29793192.

It is a happy number.

Its product of digits (61236) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29139793) 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, 120792 + ... + 121032.

It is an arithmetic number, because the mean of its divisors is an integer number (1035276).

Almost surely, 2^29139792 is an apocalyptic number.

29139792 is a gapful number since it is divisible by the number (22) 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 29139792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41411040).

29139792 is an abundant number, since it is smaller than the sum of its proper divisors (53682288).

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

29139792 is a wasteful number, since it uses less digits than its factorization.

29139792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 29139792 is about 5398.1285646046. The cubic root of 29139792 is about 307.7245527489.

The spelling of 29139792 in words is "twenty-nine million, one hundred thirty-nine thousand, seven hundred ninety-two".