730078272 has 560 divisors, whose sum is σ = 2832445440. Its totient is φ = 180403200.

The previous prime is 730078253. The next prime is 730078289. The reversal of 730078272 is 272870037.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12374179 + ... + 12374237.

Almost surely, 2^730078272 is an apocalyptic number.

730078272 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 730078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416222720).

730078272 is an abundant number, since it is smaller than the sum of its proper divisors (2102367168).

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

730078272 is a wasteful number, since it uses less digits than its factorization.

730078272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 730078272 is about 27019.9606217330. The cubic root of 730078272 is about 900.4435147360.

The spelling of 730078272 in words is "seven hundred thirty million, seventy-eight thousand, two hundred seventy-two".