71732772 has 72 divisors (see below), whose sum is σ = 187387200. Its totient is φ = 23123520.

The previous prime is 71732753. The next prime is 71732783. The reversal of 71732772 is 27723717.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 230497 + ... + 230807.

It is an arithmetic number, because the mean of its divisors is an integer number (2602600).

Almost surely, 2^71732772 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 71732772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93693600).

71732772 is an abundant number, since it is smaller than the sum of its proper divisors (115654428).

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

71732772 is a wasteful number, since it uses less digits than its factorization.

71732772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 71732772 is about 8469.5201753110. The cubic root of 71732772 is about 415.5014444727.

It can be divided in two parts, 717 and 32772, that added together give a square (33489 = 183²).

The spelling of 71732772 in words is "seventy-one million, seven hundred thirty-two thousand, seven hundred seventy-two".