72896460 has 192 divisors, whose sum is σ = 255897600. Its totient is φ = 15185664.

The previous prime is 72896441. The next prime is 72896471. The reversal of 72896460 is 6469827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922701 + ... + 922779.

It is an arithmetic number, because the mean of its divisors is an integer number (1332800).

Almost surely, 2^72896460 is an apocalyptic number.

72896460 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 72896460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127948800).

72896460 is an abundant number, since it is smaller than the sum of its proper divisors (183001140).

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

72896460 is a wasteful number, since it uses less digits than its factorization.

72896460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 72896460 is about 8537.9423750691. The cubic root of 72896460 is about 417.7362330949.

The spelling of 72896460 in words is "seventy-two million, eight hundred ninety-six thousand, four hundred sixty".