72937950 has 48 divisors (see below), whose sum is σ = 183391536. Its totient is φ = 19180800.

The previous prime is 72937901. The next prime is 72937951. The reversal of 72937950 is 5973927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72937951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7620 + ... + 14280.

It is an arithmetic number, because the mean of its divisors is an integer number (3820657).

Almost surely, 2^72937950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72937950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91695768).

72937950 is an abundant number, since it is smaller than the sum of its proper divisors (110453586).

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

72937950 is a wasteful number, since it uses less digits than its factorization.

72937950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 72937950 is about 8540.3717717673. The cubic root of 72937950 is about 417.8154714609.

The spelling of 72937950 in words is "seventy-two million, nine hundred thirty-seven thousand, nine hundred fifty".