752121088 has 36 divisors (see below), whose sum is σ = 1507147488. Its totient is φ = 374597120.

The previous prime is 752121067. The next prime is 752121103. The reversal of 752121088 is 880121257.

It is a super-2 number, since 2×752121088² = 1131372262028607488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61743 + ... + 72913.

It is an arithmetic number, because the mean of its divisors is an integer number (41865208).

Almost surely, 2^752121088 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 752121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753573744).

752121088 is an abundant number, since it is smaller than the sum of its proper divisors (755026400).

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

752121088 is a wasteful number, since it uses less digits than its factorization.

752121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 752121088 is about 27424.8261252464. The cubic root of 752121088 is about 909.4159952909.

The spelling of 752121088 in words is "seven hundred fifty-two million, one hundred twenty-one thousand, eighty-eight".