72346950 has 144 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 17475840.

The previous prime is 72346949. The next prime is 72346957. The reversal of 72346950 is 5964327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72346957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485476 + ... + 485624.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^72346950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72346950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

72346950 is an abundant number, since it is smaller than the sum of its proper divisors (140920650).

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

72346950 is a wasteful number, since it uses less digits than its factorization.

72346950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72346950 is about 8505.7010293097. The cubic root of 72346950 is about 416.6839210633.

The spelling of 72346950 in words is "seventy-two million, three hundred forty-six thousand, nine hundred fifty".