753795072 has 180 divisors, whose sum is σ = 2283789816. Its totient is φ = 247726080.

The previous prime is 753795019. The next prime is 753795131. The reversal of 753795072 is 270597357.

It is a happy number.

753795072 is a `hidden beast` number, since 75 + 3 + 79 + 507 + 2 = 666.

It is a super-3 number, since 3×753795072³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616797 + ... + 10616867.

Almost surely, 2^753795072 is an apocalyptic number.

753795072 is a gapful number since it is divisible by the number (72) 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 753795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141894908).

753795072 is an abundant number, since it is smaller than the sum of its proper divisors (1529994744).

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

753795072 is an frugal number, since it uses more digits than its factorization.

753795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 753795072 is about 27455.3286631211. The cubic root of 753795072 is about 910.0901862877.

The spelling of 753795072 in words is "seven hundred fifty-three million, seven hundred ninety-five thousand, seventy-two".