751968 has 72 divisors (see below), whose sum is σ = 2450448. Its totient is φ = 214272.

The previous prime is 751957. The next prime is 751969. The reversal of 751968 is 869157.

751968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×751968³ = 1275614165778333696, which contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (751969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1830 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (34034).

2⁷⁵¹⁹⁶⁸ 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 751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225224).

751968 is an abundant number, since it is smaller than the sum of its proper divisors (1698480).

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

751968 is a wasteful number, since it uses less digits than its factorization.

751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 751968 is about 867.1608847267. The cubic root of 751968 is about 90.9354289747.

The spelling of 751968 in words is "seven hundred fifty-one thousand, nine hundred sixty-eight".