72595950 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 15429120.

The previous prime is 72595931. The next prime is 72595973. The reversal of 72595950 is 5959527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874609 + ... + 874691.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^72595950 is an apocalyptic number.

72595950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72595950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

72595950 is an abundant number, since it is smaller than the sum of its proper divisors (152389650).

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

72595950 is a wasteful number, since it uses less digits than its factorization.

72595950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 72595950 is about 8520.3256980000. The cubic root of 72595950 is about 417.1614140852.

The spelling of 72595950 in words is "seventy-two million, five hundred ninety-five thousand, nine hundred fifty".