72986452 has 48 divisors (see below), whose sum is σ = 166182912. Its totient is φ = 27197280.

The previous prime is 72986443. The next prime is 72986471. The reversal of 72986452 is 25468927.

It is a junction number, because it is equal to n+sod(n) for n = 72986399 and 72986408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (3462144).

Almost surely, 2^72986452 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 72986452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83091456).

72986452 is an abundant number, since it is smaller than the sum of its proper divisors (93196460).

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

72986452 is a wasteful number, since it uses less digits than its factorization.

72986452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10346 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 72986452 is about 8543.2108717976. The cubic root of 72986452 is about 417.9080633867.

The spelling of 72986452 in words is "seventy-two million, nine hundred eighty-six thousand, four hundred fifty-two".