738072 has 80 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 228096.

The previous prime is 738071. The next prime is 738083. The reversal of 738072 is 270837.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10983 + ... + 11049.

2⁷³⁸⁰⁷² is an apocalyptic number.

738072 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 738072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780).

738072 is an abundant number, since it is smaller than the sum of its proper divisors (1483488).

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

738072 is a wasteful number, since it uses less digits than its factorization.

738072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 738072 is about 859.1111685923. Note that the first 4 decimals coincide. The cubic root of 738072 is about 90.3717953100.

The spelling of 738072 in words is "seven hundred thirty-eight thousand, seventy-two".