72409400 has 48 divisors (see below), whose sum is σ = 192405840. Its totient is φ = 24825600.

The previous prime is 72409387. The next prime is 72409417. The reversal of 72409400 is 490427.

72409400 = 210² + 211² + ... + 609².

It is a self number, because there is not a number n which added to its sum of digits gives 72409400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24461 + ... + 27260.

It is an arithmetic number, because the mean of its divisors is an integer number (4008455).

Almost surely, 2^72409400 is an apocalyptic number.

72409400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72409400 is an abundant number, since it is smaller than the sum of its proper divisors (119996440).

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

72409400 is a wasteful number, since it uses less digits than its factorization.

72409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51744 (or 51735 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72409400 is about 8509.3713046264. The cubic root of 72409400 is about 416.8037806522.

Adding to 72409400 its reverse (490427), we get a palindrome (72899827).

The spelling of 72409400 in words is "seventy-two million, four hundred nine thousand, four hundred".