272672400 has 480 divisors, whose sum is σ = 1177924608. Its totient is φ = 52070400.

The previous prime is 272672359. The next prime is 272672437. The reversal of 272672400 is 4276272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1201087 + ... + 1201313.

Almost surely, 2^272672400 is an apocalyptic number.

272672400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

272672400 is the 9534-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588962304).

272672400 is an abundant number, since it is smaller than the sum of its proper divisors (905252208).

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

272672400 is a wasteful number, since it uses less digits than its factorization.

272672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 272672400 is about 16512.7950389993. The cubic root of 272672400 is about 648.4558216432.

The spelling of 272672400 in words is "two hundred seventy-two million, six hundred seventy-two thousand, four hundred".