72462600 has 336 divisors, whose sum is σ = 292749120. Its totient is φ = 16329600.

The previous prime is 72462553. The next prime is 72462623. The reversal of 72462600 is 626427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1020565 + ... + 1020635.

Almost surely, 2^72462600 is an apocalyptic number.

72462600 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 72462600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146374560).

72462600 is an abundant number, since it is smaller than the sum of its proper divisors (220286520).

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

72462600 is a wasteful number, since it uses less digits than its factorization.

72462600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72462600 is about 8512.4966960346. The cubic root of 72462600 is about 416.9058324708.

The spelling of 72462600 in words is "seventy-two million, four hundred sixty-two thousand, six hundred".