72969000 has 128 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 17952000.

The previous prime is 72968999. The next prime is 72969007. The reversal of 72969000 is 96927.

It is a super-2 number, since 2×72969000² = 10648949922000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72969007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38065 + ... + 39935.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^72969000 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 72969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

72969000 is an abundant number, since it is smaller than the sum of its proper divisors (172337880).

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

72969000 is a wasteful number, since it uses less digits than its factorization.

72969000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 72969000 is about 8542.1894148983. The cubic root of 72969000 is about 417.8747516660.

The spelling of 72969000 in words is "seventy-two million, nine hundred sixty-nine thousand".