137730072 has 64 divisors (see below), whose sum is σ = 365472000. Its totient is φ = 43159424.

The previous prime is 137730067. The next prime is 137730113. The reversal of 137730072 is 270037731.

137730072 is a Rhonda number in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30454 + ... + 34682.

It is an arithmetic number, because the mean of its divisors is an integer number (5710500).

Almost surely, 2^137730072 is an apocalyptic number.

137730072 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 137730072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736000).

137730072 is an abundant number, since it is smaller than the sum of its proper divisors (227741928).

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

137730072 is a wasteful number, since it uses less digits than its factorization.

137730072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 137730072 is about 11735.8456022564. The cubic root of 137730072 is about 516.4277745872.

The spelling of 137730072 in words is "one hundred thirty-seven million, seven hundred thirty thousand, seventy-two".