72839250 has 192 divisors, whose sum is σ = 224864640. Its totient is φ = 17496000.

The previous prime is 72839233. The next prime is 72839257. The reversal of 72839250 is 5293827.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72839257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668196 + ... + 668304.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 2^72839250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72839250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

72839250 is an abundant number, since it is smaller than the sum of its proper divisors (152025390).

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

72839250 is a wasteful number, since it uses less digits than its factorization.

72839250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72839250 is about 8534.5913786191. The cubic root of 72839250 is about 417.6269230561.

The spelling of 72839250 in words is "seventy-two million, eight hundred thirty-nine thousand, two hundred fifty".