72649500 has 384 divisors, whose sum is σ = 286820352. Its totient is φ = 13824000.

The previous prime is 72649471. The next prime is 72649513. The reversal of 72649500 is 594627.

72649500 = 3010² + 3011² + ... + 3017².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1963482 + ... + 1963518.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^72649500 is an apocalyptic number.

72649500 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 72649500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

72649500 is an abundant number, since it is smaller than the sum of its proper divisors (214170852).

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

72649500 is a wasteful number, since it uses less digits than its factorization.

72649500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72649500 is about 8523.4676042090. The cubic root of 72649500 is about 417.2639611430.

It can be divided in two parts, 726 and 49500, that multiplied together give a cube (35937000 = 330³).

The spelling of 72649500 in words is "seventy-two million, six hundred forty-nine thousand, five hundred".