738072000 has 560 divisors, whose sum is σ = 2934236448. Its totient is φ = 182476800.

The previous prime is 738071989. The next prime is 738072029. The reversal of 738072000 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11015967 + ... + 11016033.

Almost surely, 2^738072000 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 738072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467118224).

738072000 is an abundant number, since it is smaller than the sum of its proper divisors (2196164448).

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

738072000 is a wasteful number, since it uses less digits than its factorization.

738072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

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

The square root of 738072000 is about 27167.4805604053. The cubic root of 738072000 is about 903.7179531000.

The spelling of 738072000 in words is "seven hundred thirty-eight million, seventy-two thousand".