72137292 has 96 divisors (see below), whose sum is σ = 184246272. Its totient is φ = 21907776.

The previous prime is 72137287. The next prime is 72137311. The reversal of 72137292 is 29273127.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869083 + ... + 869165.

It is an arithmetic number, because the mean of its divisors is an integer number (1919232).

Almost surely, 2^72137292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72137292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92123136).

72137292 is an abundant number, since it is smaller than the sum of its proper divisors (112108980).

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

72137292 is a wasteful number, since it uses less digits than its factorization.

72137292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 72137292 is about 8493.3675300201. The cubic root of 72137292 is about 416.2810215948.

The spelling of 72137292 in words is "seventy-two million, one hundred thirty-seven thousand, two hundred ninety-two".