72826974 has 48 divisors (see below), whose sum is σ = 173856384. Its totient is φ = 21848400.

The previous prime is 72826969. The next prime is 72826987. The reversal of 72826974 is 47962827.

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, 18609 + ... + 22179.

It is an arithmetic number, because the mean of its divisors is an integer number (3622008).

Almost surely, 2^72826974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72826974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86928192).

72826974 is an abundant number, since it is smaller than the sum of its proper divisors (101029410).

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

72826974 is a wasteful number, since it uses less digits than its factorization.

72826974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3690 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72826974 is about 8533.8721574676. The cubic root of 72826974 is about 417.6034600828.

The spelling of 72826974 in words is "seventy-two million, eight hundred twenty-six thousand, nine hundred seventy-four".