72465400 has 96 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 24624000.

The previous prime is 72465397. The next prime is 72465413. The reversal of 72465400 is 456427.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267265 + ... + 267535.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 2^72465400 is an apocalyptic number.

72465400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

72465400 is an abundant number, since it is smaller than the sum of its proper divisors (121807880).

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

72465400 is a wasteful number, since it uses less digits than its factorization.

72465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 72465400 is about 8512.6611585332. The cubic root of 72465400 is about 416.9112022354.

The spelling of 72465400 in words is "seventy-two million, four hundred sixty-five thousand, four hundred".