72817740 has 72 divisors (see below), whose sum is σ = 221654160. Its totient is φ = 19350144.

The previous prime is 72817733. The next prime is 72817757. The reversal of 72817740 is 4771827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72817695 and 72817704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70951 + ... + 71969.

It is an arithmetic number, because the mean of its divisors is an integer number (3078530).

Almost surely, 2^72817740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72817740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110827080).

72817740 is an abundant number, since it is smaller than the sum of its proper divisors (148836420).

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

72817740 is a wasteful number, since it uses less digits than its factorization.

72817740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 72817740 is about 8533.3311197914. The cubic root of 72817740 is about 417.5858095103.

The spelling of 72817740 in words is "seventy-two million, eight hundred seventeen thousand, seven hundred forty".