34551072 has 72 divisors (see below), whose sum is σ = 104049036. Its totient is φ = 10838016.

The previous prime is 34551067. The next prime is 34551107. The reversal of 34551072 is 27015543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 8785296 = 5076^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1368 + ... + 8424.

Almost surely, 2^34551072 is an apocalyptic number.

34551072 is a gapful number since it is divisible by the number (32) 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 34551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52024518).

34551072 is an abundant number, since it is smaller than the sum of its proper divisors (69497964).

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

34551072 is a wasteful number, since it uses less digits than its factorization.

34551072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 34551072 is about 5878.0159918122. The cubic root of 34551072 is about 325.7020625937.

The spelling of 34551072 in words is "thirty-four million, five hundred fifty-one thousand, seventy-two".