738280872 has 256 divisors, whose sum is σ = 2549760000. Its totient is φ = 193155840.

The previous prime is 738280861. The next prime is 738280877. The reversal of 738280872 is 278082837.

It is a super-2 number, since 2×738280872² = 1090117291922160768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (738280877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890154 + ... + 890982.

It is an arithmetic number, because the mean of its divisors is an integer number (9960000).

Almost surely, 2^738280872 is an apocalyptic number.

738280872 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 738280872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274880000).

738280872 is an abundant number, since it is smaller than the sum of its proper divisors (1811479128).

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

738280872 is a wasteful number, since it uses less digits than its factorization.

738280872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 738280872 is about 27171.3244432435. The cubic root of 738280872 is about 903.8031948166.

The spelling of 738280872 in words is "seven hundred thirty-eight million, two hundred eighty thousand, eight hundred seventy-two".