137520072 has 96 divisors (see below), whose sum is σ = 405976800. Its totient is φ = 43123968.

The previous prime is 137520037. The next prime is 137520121. The reversal of 137520072 is 270025731.

137520072 is a `hidden beast` number, since 137 + 520 + 0 + 7 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 61323 + ... + 63525.

It is an arithmetic number, because the mean of its divisors is an integer number (4228925).

Almost surely, 2^137520072 is an apocalyptic number.

137520072 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 137520072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202988400).

137520072 is an abundant number, since it is smaller than the sum of its proper divisors (268456728).

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

137520072 is a wasteful number, since it uses less digits than its factorization.

137520072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137520072 is about 11726.8952412819. The cubic root of 137520072 is about 516.1651715686.

The spelling of 137520072 in words is "one hundred thirty-seven million, five hundred twenty thousand, seventy-two".