72637950 has 192 divisors, whose sum is σ = 237127680. Its totient is φ = 14256000.

The previous prime is 72637949. The next prime is 72637963. The reversal of 72637950 is 5973627.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72637899 and 72637908.

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, 219285 + ... + 219615.

It is an arithmetic number, because the mean of its divisors is an integer number (1235040).

Almost surely, 2^72637950 is an apocalyptic number.

72637950 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 72637950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563840).

72637950 is an abundant number, since it is smaller than the sum of its proper divisors (164489730).

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

72637950 is a wasteful number, since it uses less digits than its factorization.

72637950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 72637950 is about 8522.7900361325. The cubic root of 72637950 is about 417.2418474135.

The spelling of 72637950 in words is "seventy-two million, six hundred thirty-seven thousand, nine hundred fifty".