72741900 has 288 divisors, whose sum is σ = 271982592. Its totient is φ = 14572800.

The previous prime is 72741887. The next prime is 72741919. The reversal of 72741900 is 914727.

It is a super-2 number, since 2×72741900² = 10582768031220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085667 + ... + 1085733.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^72741900 is an apocalyptic number.

72741900 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 72741900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135991296).

72741900 is an abundant number, since it is smaller than the sum of its proper divisors (199240692).

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

72741900 is a wasteful number, since it uses less digits than its factorization.

72741900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72741900 is about 8528.8862109891. The cubic root of 72741900 is about 417.4407866589.

The spelling of 72741900 in words is "seventy-two million, seven hundred forty-one thousand, nine hundred".