71742528 has 252 divisors, whose sum is σ = 246540528. Its totient is φ = 19768320.

The previous prime is 71742511. The next prime is 71742529. The reversal of 71742528 is 82524717.

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 = 71742492 and 71742501.

It is not an unprimeable number, because it can be changed into a prime (71742529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070751 + ... + 1070817.

Almost surely, 2^71742528 is an apocalyptic number.

71742528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123270264).

71742528 is an abundant number, since it is smaller than the sum of its proper divisors (174798000).

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

71742528 is a wasteful number, since it uses less digits than its factorization.

71742528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 71742528 is about 8470.0961033509. The cubic root of 71742528 is about 415.5202803466.

The spelling of 71742528 in words is "seventy-one million, seven hundred forty-two thousand, five hundred twenty-eight".