72470400 has 96 divisors (see below), whose sum is σ = 238731000. Its totient is φ = 19322880.

The previous prime is 72470369. The next prime is 72470441. The reversal of 72470400 is 407427.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5826 + ... + 13374.

Almost surely, 2^72470400 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 72470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119365500).

72470400 is an abundant number, since it is smaller than the sum of its proper divisors (166260600).

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

72470400 is a wasteful number, since it uses less digits than its factorization.

72470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 72470400 is about 8512.9548336638. The cubic root of 72470400 is about 416.9207907565.

Adding to 72470400 its reverse (407427), we get a palindrome (72877827).

The spelling of 72470400 in words is "seventy-two million, four hundred seventy thousand, four hundred".