747972 has 36 divisors (see below), whose sum is σ = 1921920. Its totient is φ = 245232.

The previous prime is 747953. The next prime is 747977. The reversal of 747972 is 279747.

747972 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 (36).

It is a super-2 number, since 2×747972² = 1118924225568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (747977) by changing a digit.

747972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 2975.

2⁷⁴⁷⁹⁷² 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 747972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960960).

747972 is an abundant number, since it is smaller than the sum of its proper divisors (1173948).

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

747972 is a wasteful number, since it uses less digits than its factorization.

747972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 747972 is about 864.8537448609. The cubic root of 747972 is about 90.7740641509.

The spelling of 747972 in words is "seven hundred forty-seven thousand, nine hundred seventy-two".