72941400 has 216 divisors, whose sum is σ = 285299820. Its totient is φ = 16652160.

The previous prime is 72941377. The next prime is 72941423. The reversal of 72941400 is 414927.

72941400 = 1196² + 1197² + ... + 1244².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72941377) and next prime (72941423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87787 + ... + 88613.

Almost surely, 2^72941400 is an apocalyptic number.

72941400 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 72941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142649910).

72941400 is an abundant number, since it is smaller than the sum of its proper divisors (212358420).

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

72941400 is a wasteful number, since it uses less digits than its factorization.

72941400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72941400 is about 8540.5737512184. The cubic root of 72941400 is about 417.8220589811.

The spelling of 72941400 in words is "seventy-two million, nine hundred forty-one thousand, four hundred".