137724072 has 64 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 41809920.

The previous prime is 137724071. The next prime is 137724077. The reversal of 137724072 is 270427731.

It is a super-2 number, since 2×137724072² = 37935840016522368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137724071) 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, 7204 + ... + 18092.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^137724072 is an apocalyptic number.

137724072 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 137724072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

137724072 is an abundant number, since it is smaller than the sum of its proper divisors (238634328).

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

137724072 is a wasteful number, since it uses less digits than its factorization.

137724072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 137724072 is about 11735.5899723874. The cubic root of 137724072 is about 516.4202753495.

The spelling of 137724072 in words is "one hundred thirty-seven million, seven hundred twenty-four thousand, seventy-two".