72877300 has 72 divisors (see below), whose sum is σ = 169114176. Its totient is φ = 27164160.

The previous prime is 72877289. The next prime is 72877327. The reversal of 72877300 is 377827.

72877300 = T₄₉₉ + T₅₀₀ + ... + T₈₂₄.

It is a super-2 number, since 2×72877300² = 10622201710580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 276969 + ... + 277231.

It is an arithmetic number, because the mean of its divisors is an integer number (2348808).

Almost surely, 2^72877300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72877300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84557088).

72877300 is an abundant number, since it is smaller than the sum of its proper divisors (96236876).

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

72877300 is a wasteful number, since it uses less digits than its factorization.

72877300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 72877300 is about 8536.8202511240. The cubic root of 72877300 is about 417.6996308257.

The spelling of 72877300 in words is "seventy-two million, eight hundred seventy-seven thousand, three hundred".