72689850 has 72 divisors (see below), whose sum is σ = 196689792. Its totient is φ = 19245600.

The previous prime is 72689819. The next prime is 72689861. The reversal of 72689850 is 5898627.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 72689796 and 72689805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72855 + ... + 73845.

Almost surely, 2^72689850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72689850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98344896).

72689850 is an abundant number, since it is smaller than the sum of its proper divisors (123999942).

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

72689850 is a wasteful number, since it uses less digits than its factorization.

72689850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 72689850 is about 8525.8342700289. The cubic root of 72689850 is about 417.3411972090.

The spelling of 72689850 in words is "seventy-two million, six hundred eighty-nine thousand, eight hundred fifty".